They'd probably be very entertained. Thor is a larger - than - life character, and fanfiction often takes things to the extreme, which would be a source of amusement for the Avengers.
The Avengers' reactions would be diverse. Tony might be dismissive at first, thinking it's just some kids' stuff. But then he'd get curious and start asking Thor more about the magic and powers in the Percy Jackson universe. Steve would probably listen attentively, seeing it as a new form of hero story. Thor himself would be enthusiastic, trying to get everyone as excited as he is about it.
He might have been a bit confused at first. After all, glasses are not something he's used to seeing in Asgard. But then he could have quickly reacted with his natural heroism and tried to help her find them.
Well, in the official Marvel universe, there's no indication that the Avengers sit around watching Thor fanfic. Fanfic is more of a thing for fans in our world, not something the characters themselves would engage with in the main storylines.
One great Thor and Avengers fanfiction is 'The Reunion'. It focuses on Thor's return to the Avengers after being away for a while. The story does a great job of showing his relationships with the other members, especially how he reconnects with Tony Stark after some previous tensions. It has some exciting battle scenes as well.
There's a fanfic called 'Loki's Redemption in Thor's World'. This one focuses on Loki trying to find his place in Thor's world after all the chaos he has caused. It shows his struggle to be accepted and how Thor is gradually coming to terms with having Loki back in his life. The writing style is engaging and really makes you feel for both characters.
A popular one is 'Thor and Loki: Brothers United in Battle'. This fanfic focuses on the bond between Thor and Loki. It shows how they work together to face a new threat that is even greater than the ones they've faced before. The story has a lot of character development for both of them. Loki uses his cunning to outwit the enemy, while Thor uses his strength. It's a great read for those who love to see the dynamic between these two brothers within the Avengers universe.
One possible scenario in a fanfic could be that Thor gets injured during a battle with a powerful new enemy in the Avengers. Maybe he's facing an enemy with some sort of dark magic that can penetrate his Asgardian defenses. His fellow Avengers then have to figure out how to help him recover while still fending off the threat.