He didn't use the verb "hit" or any other verb after it, so it's me.
When there's no verb following it, the word like acts as a preposition, which must always be followed by an object pronoun (me, him, her, them, us):
When you hit like Francis and me.
When there is a verb following it, the word like acts as a conjunction connecting two independent clauses, and it must be followed by a subject pronoun (I, he, she, they, we):
When you hit like Francis and I hit.
When you hit like Francis and I do.
I'll PM you my PayPal address.