Gilberto Silva says he has not been contacted by Arsenal about a potential return to the Emirates Stadium.
The former midfielder spent six years with the Gunners between 2002 and 2008, during which time he won a Premier League title and two FA Cups.
Per Mertesacker, another former Arsenal player, will assist Ljungberg in the dugout, starting with Sunday's trip to Carrow Road to face Norwich.
"For me, as an ex-player, it is amazing when there is some link to the club," he said of Ljungberg's appointment during an interview with Soccer AM.
"Let's see [if I will return]. This was a surprise for me despite the fact I am back in England and follow the club closely. There hasn't been any contact. I don't know if it will happen now but maybe in the future. At the moment, I can tell you there is nothing in place."
"If he gets the results and gets the players supporting him, there is a chance. The club will support him but it is important everyone works hard and gets together.
"There have been a lot of names over the last few days. I read about [Mauricio] Pochettino, [Max] Allegri, [Carlo] Ancelotti. Maybe they go with somebody who will bring confidence back."
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