British Citizen work eligibility for US company

Hello All,

I am British citizen living in UK. I am trying to get some work from USA to work remotely from UK.

I have my own limited company in UK. Does the regulations in USA allow to offer work to UK citizen under corp-to-corp or any other category so that I can do a remote work from UK to US company?

Is it possible for US company to offer a job to UK employee through UK limited company if US company accept the remote work.

I hope occasionally I can travel to US through my limited company for business discussions depending on client invite?

Regards,
om