Gunners chief Edu is eyeing a move for the Dane ahead of the January market.
Lindstrom told Tipsbladet: "It's hard not to read when articles that appear on your Facebook, Instagram and other social media. So sure, I read it, but I don't take it too seriously. The transfer window is not open at all right now, so I'm giving everything and waiting to see what happens.
"It is always fantastic to play in the biggest league in the world, but whether Arsenal is right for me is difficult to say. Right now I'm in a good place in Frankfurt, but it's nice that there are clubs like that are looking at me.
"Something might have to happen at some point, but right now I'm fine. It's a huge confidence boost. It's one of the biggest things as a footballer, so I'm obviously very happy."