Rumours over the weekend suggested that both the Gunners and Liverpool are ready to offer £40million in the summer, and Butland is pushing for a move away.
Arsene Wenger has identified Butland as a top transfer target as Petr Cech has struggled for consistency this season and a bid could go in at the end of the season.
However, the 24-year-old has taken to Twitter to deny rumours he has asked for a transfer and has vowed to fight to secure the club’s top-flight future.
“Before this spreads any further, I haven’t told the club I want to leave, I’m focused on doing everything I can to keep the club in this division!” Butland posted on social media.
Stoke have dropped into the relegation zone with just one win in eight Premier League encounters, but Butland has insisted new manager Paul Lambert has the squad redoubling their efforts in training.
“I’m really pleased with the improvement in performances recently and we are finally feeling as though we are in games and could be picking up points,” Butland told Stoke’s official club website.
Butland joined Stoke from Birmingham in 2013, and is expected to make the England squad for the summer’s World Cup in Russia.
Uwe Rosler was sacked by Fleetwood following a 3-0 reverse at Doncaster which condemned Town to a seventh straight defeat in all competitions.
Cambridge interim head coach Joe Dunne was pleased with how his side adapted to beat Grimsby 3-1.