[honorious]

It's safe to assume that most US universities with PhD programs have openings every year and they are going to sponsor you for a visa.

The difficult part is identifying professors that you'd like to work with.

[hamtaroPhD06]

I tried cold emailing professors, but I have had 0% response rate.

My emails were clear, simple and respectful. I guess they have better things to do than to respond to random stranger on the internet.

I wish there was a kind of a job board for PhDs ..