Garry Monk has revealed that Brendan Rodgers did a lot of work at Swansea to bring them where they are now.
Portuguese boss says he will only resign if his squad demand he leaves Stamford Bridge.
Midfielder urges teammates to bounce back after international break.
The Gunners stunned Louis van Gaal's side with three goals in the first 20 minutes.
Rodgers was sacked as Liverpool boss following 1-1 draw with Everton.
Arsenal are second on the table following their 3-0 victory over Manchester United.
Former Norway international Jan Aage Fjortoft believes the 48-year-old will move to Anfield.
Rodgers was dismissed with immediate effect after Liverpool's 1-1 draw with Everton on 4 October.
Per Mertesacker believes it was a tough outing defensively for the Gunners.
Jurgen Klopp and Carlo Ancelotti are the other two candidates who could succeed Brendan Rodgers at Liverpool.
Theo Walcott has revealed that the performance against Manchester United was to vindicate the manager's trust.
United failed to respond to Arsenal's impressive start to the game.
The Gunners stunned United with three goals in the opening 20 minutes to secure the three points.
The Reds part ways with Rodgers after three-and-a-half years at Anfield.
Live coverage from The Emirates Stadium as Arsenal host Manchester United.
Live coverage from the Liberty Stadium as Swansea host Tottenham.
The Blacks Cats are bottom of the league and without a win this season.
Anthony Martial is likely to start for Manchester United against Arsenal at the Emirates.
Aguero still managed to hit the back of the net five times before the 62nd minute.
Live coverage as Everton and Liverpool meet in the 225th Merseyside derby at Goodison Park.
David Beckham has backed Manchester United to have a successful season if they continue their current form.
Radamel Falcao has scored just five goals in 33 appearances for Chelsea and Manchester United thus far.
Daley Blind insists that Manchester United's good run will make them favourites over Arsenal
Wenger signed a three-year contract in 2014 which will see him at the club until 2017.
Alexis Sanchez scored his first hat-trick for Arsenal against Leicester City.
The Blues suffered their fourth Premier League defeat of the campaign against Southampton.
The Dutch boss discusses his side 3-1 victory over Chelsea on Saturday 3 October.
Louis van Gaal has revealed that he will keep investing in the squad every season.
Liverpool face Everton in the Merseyside derby and defeat for Reds will put Brendan Rodgers under immense pressure.
Manchester United are unbeaten in the Premier League this season since David de Gea's return as the number one.