Living in the US but employed by a UK company and paying Tax in the UK, Does US Employment law place any restrictions?

If I live in the US as a Permanent Resident (CR1) but I'm employed by a UK company and paying Tax in the UK can I just file forms 1040, 1116 (Foreign Tax Credit) to reduce my US tax burden and form 2555 to declare foreign earned income using Turbotax.

Or does US law prevent this or place restrictions, I've tried finding forums on US employment law but this seems the closest and most helpful and I suspect that I will need turbotax to handle my taxes in this situation.