Yes, there are quite a few. You can start by looking on fanfic platforms like Archive of Our Own. Just search for 'Avengers Peter Parker sick' and you'll likely find a variety of stories. Some might focus on Peter getting sick during a mission and how the Avengers take care of him, while others could be about him getting sick and having to deal with it while hiding his identity.
The Avengers would initially be in shock when they find out Peter is sick. Clint Barton would be the one to keep a calm head and start organizing things. Wanda Maximoff would try to use her powers to ease Peter's pain if possible. Vision would use his vast knowledge to try and find a solution. They would all be very concerned and do everything they can to make Peter better, from getting the best medical help to providing a safe and comfortable environment for him to recover.
Perhaps Peter's sickness is a result of his overuse of his powers. The Avengers, especially Tony Stark, feel responsible. They start by quarantining Peter in the Avengers Tower. Then, they call in all their medical and scientific resources. They might discover that the only way to heal him is for Peter to temporarily give up his powers, which would be a huge struggle for him.
One common theme is the Avengers' concern for Peter. They might act like overprotective parents or teammates, trying to nurse him back to health. Another theme could be Peter's struggle with his own weakness. Since he's usually seen as a strong and capable hero, being sick makes him feel vulnerable.
Most official and well - received fan works are based on the positive aspects of the characters. Peter Parker is a character with great potential for stories about growth, mentorship in the Avengers, and his own journey as a hero. So, fanfics with inappropriate content are not in line with the general spirit of the franchise.
Well, it could be due to misunderstandings. Fanfics often play with the idea that Peter, being young and inexperienced, might accidentally cause trouble that the Avengers misinterpret as intentional. For example, he could be trying to help but ends up making a situation worse, leading to the Avengers' dislike. Another reason could be that some writers like to create drama by pitting characters against each other. They think it makes for a more interesting story if the Avengers have this negative view of Peter Parker, even if it goes against the more positive portrayals in the official comics or movies.
A common theme is the clash between Peter's normal life and his superhero life. He has to keep his identity secret from his school friends while also dealing with the high - stakes world of the Avengers. Adaptation is also a theme. Peter has to adapt to the Avengers' way of doing things, which is often very different from his solo operations as Spider - Man. Another theme can be sacrifice, where Peter might have to sacrifice his personal time or safety for the greater good of the Avengers and the world.
Peter could rely on his own inner strength. He has a strong moral compass, so he might use that to remind himself that the Avengers' actions are wrong, not his. And then he could focus on using his Spider - Man skills to prove his innocence or protect himself.
Peter's relationships can also be developed. His friends could come to visit him when he's sick. He might be more open with them about his insecurities as Spider - Man. And his enemies might take advantage of his weakened state, which forces him to grow and find new ways to defend himself even when he's not at his best.
Well, in this fanfiction, Peter Parker might meet the Avengers in a more casual setting. For example, he could be at a science expo where some of the Avengers are also present. Peter is there to show off his latest web - shooter design. The Avengers notice his intelligence and his unique abilities as Spider - Man. They then start a conversation with him, and from there, a relationship between Peter and the Avengers begins to form. This could lead to Peter getting involved in more Avengers - level missions and growing as a hero.