My employer filed a petition for H1B on my behalf in 04/2018. I left the company in 06/2018 for grad school. The COS petition ended up getting approved on 10/5/18, pushing me from F-1 to H1B. Because my F1 visa was still valid back then, I left and returned US on 10/24/18 to regain my F1 status. The employer sent the withdrawal letter to USCIS on 10/16/19 so presumably I was on H1B status for ~10 days, from 10/5/18 to 10/16/18.
My question is: if another employer wants to sponsor me, can it file the petition claiming me as cap-exempt? I didn’t get the H1B visa stamp or worked during that 10 days as I was focusing on getting back to F-1. Can’t find anyone in a similar situation so that’s why I’m posting here.