Britton returned as sub against FA Cup opponents Sheffield Wednesday with his first appearance since October after injury problems.
The midfielder, out of contract in summer, said: “It has been frustrating and I want to get out there as much as I can with time running out on my Swans career.
“The manager has been doing a fantastic job in the time he has been here.
“He hasn't changed things dramatically. He has given the players confidence and obviously we have settled with a system.
“Everyone knows their roles and responsibilities."