Fabregas completed his long awaited move to Barcelona during the final days of the January transfer window.
And the Gunners left it to the last minute to prise Arteta over from Everton in a bid to plug the gap left by their former captain.
But Arteta refuses to see himself as a player who can fill the shoes of his compatriot.
"I am not here to replace Cesc and I would be wrong to try that," he was quoted as saying in The Sun newspaper.
"Cesc was the best player at Arsenal and one of the top three in the entire Premier League.
"I have no aim to become that. My target is simply to try to reach my highest level as a player and to help the team.
"Cesc was at Arsenal for seven years. I have been here for a few weeks. If I try to be equal to or better than him, I would be confusing myself.
"We're different personalities with a different style. I must find my own way to do well for Arsenal."
The 29-year-old is still coming to terms with his new surroundings after six years at Goodison Park. And he revealed that the move nearly fell apart.
He said: "There was a lot of stress and uncertainty on deadline day. At three o'clock, I thought I was an Arsenal player then, at 6pm, it was all off.
"At 8.30, the move was back on again but there was no time for me to have a medical.
"I went to Arsenal's offices and told them they had to trust me.
"Then, at 11.10, when they were registering my transfer with the Premier League, the fax machine broke down.
"Thankfully, everything went well in the end.
"David Moyes understood my situation with Everton. When we got the offer from Arsenal on August 31, he looked into my eyes and said, 'You want to go, don't you?'
"I told him this was my big chance and that the club would be getting a big cash injection by selling me, so it was best for both parties."
Arsenal are lying 15th in the Barclays Premier League, just two points off the drop zone.