Gylfi Sigurdsson has urged his team-mates to "keep a cool head" while Swansea's board seek a successor to Garry Monk as manager.
AEK Athens boss Gus Poyet is interested in taking over at Liberty Stadium and Swansea want a new boss before hosting West Ham United on Sunday, 20 December.
"We just have to keep a cool head and get on with it and make sure that we do our best," said midfielder Sigurdsson.
Meanwhile team-mate Jack Cork has backed Monk to have "a great future".
Monk left after overseeing only one win in the 11 games before Swansea lost 2-1 against Manchester City.
They lie 16th in the table, one point above the relegation zone with back-room stalwart Alan Curtis having been in charge at Etihad Stadium.
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"It's difficult when they change managers and the club's going through a bit of a change, but we're all professional and most of the players have been through this before," said Sigurdsson.
He accepts Swansea's players have "probably deserved" criticism for the performances that helped bring about Monk's demise.
"Of course when we haven't been winning games it's down to the players and we just haven't been performing," said Sigurdsson.
"We've got good enough players here to play better than we have been."
Sigurdsson and fellow midfielder Cork felt they produced an improved performance against Man City.
Cork also says the players felt they were indebted to Monk for having failed to produce more wins this season.
"It's been really tough. Garry's the one that brought me to the club and he's been great with me since I've been there," said the player who signed for Monk from Southampton in January, 2015.
"He's a great manager and I'm sure he'll have a great future coaching and managing the game, but Curt's (Curtis) been great as well since he's come in.
"We said we owe him (Monk) something and I think he spoke to Curt before the game and said "all the best" and stuff."