Manager Steve Davis had pledged his commitment to Crewe Alexandra.
The 47-year-old, who has been in charge of the Railwaymen since November 2011, is among the favourites to be appointed as the next Wolverhampton Wanderers boss.
However, Davis attended Nantwich Town's end-of-season awards ceremony on Friday night, where he told fans that he was "happy to stay at Crewe".
Davis has taken charge of 88 games during his time as Crewe boss, winning 40, drawing 23 and losing 25.