The Swans qualified for European football next season after beating Bradford City 5-0 to win the Capital One Cup on Sunday at Wembley.
The 30-year-old is confident that the Welsh side's supporters would rather watch them in Europe than the likes of EastEnders on a Thursday.
"I stick the Europa League on when the British teams are playing because there is nothing else on a Thursday night apart from EastEnders," Britton told the South Wales Evening Post. "I watch most football on the TV whether it's League Two or the Champions League — not that my missus is happy about that!
"But it will be great exposure for the club next season. Every Thursday when the competition is on we could be on the television.
"I think everyone would rather be doing that than sitting indoors watching boring soaps and just twiddling their thumbs. I'm sure all the fans and players would much rather be travelling abroad to Spain, Portugal, France or wherever it may be to go and play against top players and top teams."
Swansea host Newcastle United in the Premier League on Saturday.