Beecher, 21, appeared in nine games for the Providence Bruins on an ATO in 2021-22, recording three goals and two assists for five points.
The 6-foot-3, 210-pound center spent the past three seasons at the University of Michigan, recording 19 goals and 20 assists for 39 points and a plus-14 rating in 81 games for the Wolverines.
The Elmira, NY native represented the United States at the 2020 World Junior Championships.
Beecher was drafted by the Bruins in the first round (30th overall) of the 2019 NHL Entry Draft.