The Danish manage's future was cast into doubt after his former agent, Bayram Tutumlu, fell out with chairman Huw Jenkins but Laudrup insists that the breakdown in that relationship would not affect his own position at the Liberty Stadium.
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"From a player's point of view we hope he stays and I'm sure all of the supporters do as well," he told BBC Sport. "I think we were expecting a quiet summer with maybe a few signings and that would be it.
"There's been so much speculation about the manager this summer but the manager's come out on a few occasions and said he's going to be here next season.
"Hopefully that gets put to bed and the manager will come back on July 2 and we can knuckle down and train hard preparing for the new season."
The Swans begin the new season with a home clash against Manchester United, David Moyes's first game in charge as Sir Alex Ferguson's successor, and Britton is excited by the extra attention surrounding the fixture.
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"It will still be the same set of players when you cross that white line and, obviously, when you come up against Man Utd it's very tough, regardless of who the manager is."
This season will also see the first Welsh derby in Premier League history after Cardiff City's promotion, a fixture to which the 30-year-old is looking forward more than any other.
"Everyone involved in both football clubs, that's probably the first one we looked for," Britton continued. "It's been a couple of years without the derby games but we've seen over the last five or six years when we've played each other they've been great occasions.
"With it being in the Premier League this season, it adds a little bit more spice to it."