Beane said he's aware of Coleman's struggles during his two seasons in Cleveland and hopes the former first-round draft pick takes advantage of a fresh start in Buffalo.
Coleman was limited throughout portions of Saturday's practice with the Browns due to hamstring soreness, but the injury did not hinder the trade.
Two hand injuries have kept Coleman out of 13 games through two seasons.
"If I don't do what I've got to do, changes are going to be made", Coleman said.
The former first-round pick of the Browns was acquired by the Bills for an undisclosed future draft pick.
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Coleman's tenure with the Browns will be best remembered for his drop late in the fourth quarter in last season's finale at Pittsburgh that sealed the Browns' 0-16 finish. The Bills now have Coleman, Kelvin Benjamin, Andre Holmes, and Zay Jones as their starting wide receivers, but they will need to find a balance between their front-runners.
Buffalo entered training camp with Kelvin Benjamin as its top receiver and questions down the rest of its depth chart.
Coleman, 24, has 56 career catches for 718 yards and five touchdowns.
Returning starter Zay Jones is coming off right knee and shoulder surgery and was cleared for practice for the first time Sunday. "Its low risk and we'll see what happens".
You can also add defensive tackle Phil Taylor, the Browns' first-round pick in 2011, to that list. He was selected by the Browns after they sent their number 2 overall pick to the Philadelphia Eagles.