The reigning Premier League champions have endured a mixed start to the season, having lost three of their opening six league games, but have also won both of their Champions League matches.
Despite a diffcult start in the Premier League, and most recently suffering a 4-1 loss to Manchester United, Albrighton believes that the Foxes can still enjoy a successful season and that players should stay if they are still happy.
"I think everybody enjoys it here and if we’re enjoying it then we’ll play well," he told the media.
"Everything will look after itself then. I don’t see any reason why anybody would want to leave the club at the minute.
"Obviously we’ve had some tough games in the league so far going to Liverpool and Old Trafford. They’re tough games and there’s no getting away from that.
"But the manner in which we lost both those games was tough to take. If we can sort that form out in the league and carry on this form then we’ll have a good season".
Leicester currently sit in 12th place in the Premier League with seven points from six games but top their Champions League group with two victories from their opening two ties in Europe.