The 18-year-old forward was the No. 23 pick in the 2020 NHL Draft.
"Tyson obviously has a lot of offensive gifts," Flyers general manager Chuck Fletcher said. "He can shoot the puck tremendously well. Goal scorer. Playmaker. Great hockey sense. Really good size (6-foot-1, 194 pounds). He's got a lot of attributes.
"I think the good thing about Tyson was very good with self-awareness, of his strengths and the areas that he needs to improve. He's worked very hard on those areas during the pause. We expect he'll continue to develop into a pretty good player."
Foerster led Barrie of the Ontario Hockey League in goals (36), assists (44), points (80), power-play goals (18) and power-play assists (16) in 62 games last season.
"He's physical with his size," Flyers assistant GM Brent Flahr said. "His offensive hockey, specifically he shoots the puck, certainly made him attractive when we were picking. I feel he has tremendous upside."