The Swede won his first match as caretaker boss on Monday, a come-from-behind 3-1 victory over West Ham at the Emirates.
Reports have claimed the Gunners have ten candidates on their shortlist, with Ljungberg one of those names.
Speaking ahead of Thursday's clash with Standard Liege, Ljungberg said about the search: "It's not a conversation I've had with the bosses.
"My job is to go from game to game. All of those decisions are up to the top dogs."
Asked specifically if Carlo Ancelotti would be a good choice to take over at Emirates Stadium, Ljungberg said: "I've been asked questions like this a lot since I took over.
"I just try to concentrate on my job, which is to win football games and get better. Who they choose it is totally up to them and I stay out of it."