Immigrant challenges - breaking in to PE/VC

This is related to international students/professionals who have to deal with the work VISA process, so may not apply to majority of folks here. I know consulting firms are pretty good about sponsoring VISAs and supporting immigrants in the long-term, but not sure if PE or VC firms are generally open to hiring, and as a result, dealing with the work visa process? Do folks here know if firms that are open to it? I understand it's a niche topic but wanted to see if there's anyone with any inputs or experience on the matter. Thanks!