Yes, you can continue trading even after changing your country of residence, provided that the country you've moved to is not among the restricted countries listed by FXTM.
Update Proof of Residence
If staying outside your original country for over 3 months, update your Proof of Residence by uploading the new document through the MyFXTM Dashboard.
Read How can I change my residential address? article for more details on how to update your registered residential address.