The 43-year-old Ljungberg took the decision because he wanted to “progress my management experience” after two years at the club where he also played from 1998-2007.
Arsenal have signed Brazil footballer Willian on a three-year contract from Chelsea.
Mesut Ozil has not played since the Premier League resumed in June.
Arsenal also moved to assure supporters that investment into the team will continue, despite the loss of jobs.
Willian hit good form after the restart in the Premier League, scoring four goals as Chelsea managed to finish in the top four and qualify for the Champions League next season.
Arteta said that he is happy with the steps that the team has taken since he took over last December.
Arsenal beat Chelsea 2-1 to win FA Cup in first final to be played without supporters.
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Chelsea secured a place in the final by getting the better of Manchester United 3-1 while Arsenal stunned Manchester City 2-0 to enter the championship clash.
Either Arsenal captain Pierre-Emerick Aubameyang or Chelsea counterpart César Azpilicueta will have to pick it up themselves on the pitch.
Mustafi sustained the injury during Arsenal's 2-0 semi-final win over Manchester City at Wembley on July 18.
Arsenal defender Shkodran Mustafi will miss the FA Cup final against Chelsea due to a hamstring injury.
Mikel Arteta's men will wear their new kit for the first time against Watford in the final round of the current Premier League season on Sunday.
Trezeguet netted the winning goal in the 27th minute as Villa moved above Watford on goal difference and out of the bottom three for the first time since February.
Guardiola recently also urged his players to increase their standards in the upcoming days if they want to progress into the next round of the UEFA Champions League at the expense of Real Madrid.
Aubameyang has been linked with several clubs in recent times, including Spanish giants Barcelona, as his contract with Arsenal expires in June 2021.
In only his 25th match as a manager, Arteta masterminded a 2-0 victory — secured by Pierre-Emerick Aubameyang's double — that ended Manchester City's title defence on Saturday.
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Arsenal defeated Liverpool 2-1 in the Premier League, as the champions miss the chance to breach the three-figure mark in points tally.
Arsenal vs Liverpool Live Streaming Premier League in India: Here are the details of when and where to watch ARS vs LIV live football match online and on Television.
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