Arsenal have been lacking creativity so far this season, and Eriksen has emerged as a surprise target with the Dane struggling for form since leaving Spurs for Inter Milan.
Meanwhile, Wilshere - currently a free agent after leaving West Ham - has made no secret of his desire to return to Arsenal, though admits it may be too late in his career to make a “dream” comeback.
Regarding Wilshere’s future, Arteta told reporters on Wednesday: "We haven't analysed that situation.
"What I can tell you about Jack is what I've said in the past, as a player, as a teammate and as a person I rate him really really highly.
“Unfortunately, at the moment we haven't looked at that. We are focused on the players we have and we’re trying to do the best we can with them.”
A more likely scenario could see Wilshere being invited to train with the squad to build his fitness before any decision on a contract is made.
However, Arteta said: “Again, we have no request on that. We haven't been approached, I haven't been approached.
"It's just a question that you are throwing at me at the moment, I can't tell you much more than that.”
Of Eriksen’s position, Arteta added: “There are a lot of players out there that could improve any team.
"But obviously we are not going to discuss any individuals.”