Temporary remote working

Can an EU national with UK residency working for a UK company work remotely one week on and one week off from Spain during their last 7 weeks of employment? The employee would still have a UK address, and not be a resident in Spain but going over every second week to look for apartments as they plan to only move and become a resident in Spain after they have finished their notice.

Hi
As the individual is UK resident and still working for a UK company and working remotely for a few weeks abroad then he/she will continue to be taxed as normal in the UK.  
Please see Tax if you leave the UK to live abroad - which he/she may find helpful if leaving the UK permanently.

Great, thank you.