As with many questions of this type, the answer is "it is a machlokes" You would have to consult your specific Rav.
The OU actually goes into some details on this.
What’s the Truth about . . . the Sale of Chametz on Pesach?
The utensils themselves present more of a challenge. The question of
what to do with chametzdik, non-kasherable dishes is discussed in the
gemara (Pesachim 30a). Rav rules that all chametzdik utensils must be
destroyed and may not be used after Pesach. Shmuel disagrees and
maintains that they may be used after Passover. The halachah follows
Shmuel, and the Shulchan Aruch states (OC 451:1) that there is no need
to sell or otherwise dispose of one’s chametzdik utensils. They simply
need to be scrubbed clean of any visible chametz and locked away.
After Pesach they may be used. The common practice is thus not to sell
dishes. Such dishes, however, may not be used for food preparation on
Pesach—not even for cold food (Rema, OC 451:1). They may be used for
non-food purposes (Rema, OC 450:7) and sold to a non-Jew on Pesach
(Shoneh Halachot 450:12). The discussion above pertains to chametzdik
dishes; vessels that do not contain any absorbed chametz but are
merely being used to store chametz are often sold in the contract used
for mechirat chametz, similar to the way warehouses that store chametz
Lest one desire to be overly stringent, selling dishes may result in
an additional obligation—one would have to immerse the dishes in a
mikvah upon repossessing them, as all metal and glass utensils
acquired from a non-Jew require immersion.
A significant dissenting opinion is the Shulchan Aruch HaRav (Rav
Shneur Zalman of Liadi, the first Lubavitcher Rebbe). In his
contract, he explicitly included the sale of those utensils that
have actual chametz on them. The Lubavitch custom is thus to sell the
utensils, but because the chametzdik utensils are never actually
transferred to the non-Jewish buyer’s domain, they do not require
immersion once they are returned to the original owner. The Ben
Ish Chai (Tzav: 9) also states that the utensils should be sold. This
is not the standard practice.
The story is told that on Motzaei Pesach 1933 the Chazon Ish had a
dream in which he was told to immerse all of his pots. The next
morning he found out that the rav through whom he had sold his chametz
had erroneously sold the pots.
. This was the practice among the Beta Yisrael Jews of Ethiopia,
where most of the utensils were made of pottery.
. See Stern, 7:16, p. 54.
. For the many divergent opinions on this topic, see Darkei
Teshuvah, Yoreh Deah 120:90; the long footnote in Rabbi Zvi Cohen’s
Tevilat Keilim 3:3; Yabia Omer 6, YD:11 and Yechave Da’at 3:24 (where
Rav Ovadia Yosef asserts one should not sell utensils and rules that
they require immersion if sold). The Kitzur Shulchan Aruch 114:2 also
says not to sell utensils. Utensils made of material that do not
require tevilah may be sold.
. “Hilchot Mechirat Chametz,” found at the end of Hilchot Pesach
(p. 234 in the 5773 ed.).
. See the sichah from 1976 printed in HaMaor 54:2 (380):
(March-April 2001): 3-5.
. See Rabbi Shimon Finkelman, The Chazon Ish: The Life and Ideals
of Rabbi Avraham Yeshayah Karelitz (New York, 1989), 57.
. On the Chazon Ish’s opinion that there is no need to sell
chametzdik utensils and that sold utensils require tevilah, see Emunah
U’Bitachon 3:8 and Chazon Ish, OC 117:15.
Eliyahu Kitov on Chabad.org says that if selling the dishes is required, then because of the nature of the sale (which seems that the non-Jew did not remove them from where they were stored) it is not required to tovel them. However, there are those who say that it is not required to sell them.
Selling Your Chametz
Only chametz that is visible need be sold to a non Jew. As for chametz
like that which is absorbed in one's dishes, for example, it is
sufficient to wash the dishes thoroughly and put them away in a place
which one will not enter on Passover.
Some authorities, however, maintain that this is not sufficient and
include dishes in the sale to the non Jew. When these dishes revert to
Jewish ownership after Passover, they do not require ritual immersion
(as is normally the case with dishes purchased from a non Jew) due to
the specific nature of the sale.
Rabbi Moshe Zywica says the same thing on the OU website but from the other angle and in fact, those who would require tevilah after repurchase, would forbid selling the dishes.
Immersing Ourselves in Tevilat Keilim
Finally, tevilah depends on the utensil’s provenance, as noted above:
if it was manufactured by, purchased from, given as a gift by, or
bought back from, a non-Jew, it requires tevilah. It is for this
reason that many poskim prohibit the selling of chametz utensils
before Passover, as they are of the opinion that the utensils would
require tevilah upon “re-purchase” after Passover.