As far as I can see lithium orotate is sold as an over-the-counter "nutritional supplement" by evidence-free alternative/complementary medicine people.

It is not approved by the FDA (the contrast is with lithium carbonate, which is approved for management of Bipolar Disorder).

The potential dangers of self-medication with lithium orotate are discussed here: Possible dangers of a “nutritional supplement” lithium orotate —