How hard is it to get CC/Pul with H1b visa

I am very interested in doing pul/CC. I am planning to apply next year for 2021 cycle. How hard is it to get fellowship with H1b visa. Or should I just wait for 2022 cycle when I will get my green card.

Currently I am a hospitalist. I finished residency in 2018. I have few ( 7) publications 5 poster presentation and was top resident in all 3 of my years.

Thanks in advance