Hi
Your employer can contact HMRC and seek a direction to operate PAYE on an employees earnings, by filling out and submitting the form at (
Apply for a direction to operate PAYE on an employee's earnings) your UK earnings, while you are resident in the USA. They will continue to deduct class 1 national insurance from your earnings, during this period. You will also need to complete a self assessment tax return after the tax year has ended. Your employer does not need to set up a payroll in the USA, as the S690 direction will be sufficient.