The short answer is: Yes, the 10 rings in Iron Man are connected to Shang-Chi.

To provide a more detailed answer, it’s important to understand the origins of both Iron Man and Shang-Chi, as well as the history of the 10 rings in the Marvel Universe.
Iron Man, also known as Tony Stark, was created by Marvel Comics in 1963. He is a billionaire industrialist who invents a high-tech suit of armor to protect himself from harm and fight against evil. The character has been a staple of the Marvel Universe for decades and has appeared in countless comics, movies, and TV shows.
Shang-Chi, on the other hand, was created by Marvel Comics in 1971. He is a highly skilled martial artist and assassin who was trained by his father, the villainous Fu Manchu, to be a deadly weapon. Shang-Chi eventually rebels against his father and becomes a hero, using his martial arts skills to fight for justice.
The 10 rings first appeared in the pages of Iron Man in 1964. They are a set of powerful, alien artifacts that give their wearer immense control over energy and matter. In the comics, the 10 rings were created by a group of alien conquerors known as the Makluans, who lost them on Earth thousands of years ago. Over time, the rings were discovered and used by various villains, including the Mandarin, who is one of Iron Man’s most iconic foes.
The connection between the 10 rings and Shang-Chi was first hinted at in the Marvel Cinematic Universe (MCU) film Iron Man 3. In that movie, a character named Aldrich Killian claims to be the Mandarin, the traditional Iron Man villain who is known for using the 10 rings. However, it is later revealed that Killian was simply posing as the Mandarin, and that the real Mandarin is still out there.
This brings us to the upcoming film Shang-Chi and the Legend of the Ten Rings, which is set to be released in 2021. The movie will feature the real Mandarin as the main villain, and will explore the origins of the 10 rings and their connection to Shang-Chi.
Based on what we know so far, it seems that the MCU version of the Mandarin will have a different backstory than the comics version. In the trailers for Shang-Chi, we see the Mandarin wielding the 10 rings, which appear to be more like bracelets than actual rings. We also see Shang-Chi facing off against the Mandarin’s forces, suggesting that the two characters will be in conflict.
It’s unclear exactly how the 10 rings will be connected to Shang-Chi in the MCU, but there are a few possibilities. One theory is that Shang-Chi’s father, who is also a powerful villain in the comics, may have obtained the rings and used them to train his son. Another theory is that the Mandarin may be seeking to use the rings to gain even more power and that Shang-Chi will have to stop him.
Regardless of how the 10 rings are connected to Shang-Chi in the MCU, it’s clear that Marvel Studios is setting up the character to be a major player in the franchise. With his unique set of skills and his connection to the 10 rings, Shang-Chi has the potential to become one of Marvel’s most beloved and iconic heroes.