[1][2][3] Grier's father Bobby was the associate director of Pro Scouting for the Houston Texans of the National Football League (NFL).

Prior to that, Bobby Grier was a running backs coach, director of pro scouting, and vice-president of player personnel for the New England Patriots of the NFL.

He spent his early playing days with Saint Sebastian's School and later with Boston University, culminating in his best amateur season in 1994–95, where he was named a first team all-star.

During his time at BU, Grier's NHL rights were dealt to the Edmonton Oilers along with star goaltender Curtis Joseph in exchange for a pair of first round picks.

After leaving college, Grier immediately cracked the Oilers lineup as a checking-line right-winger, scoring 32 points and bearing a respectable +7 plus-minus rating.

The Capitals attempted to put a Stanley Cup-caliber team together, primarily built around star forward Jaromír Jágr and goaltender Olaf Kölzig.

During the 2005–06 NHL season, Grier set a personal record, scoring four game-winning goals for the Sabres and contributing to their run to the 2006 Eastern Conference Finals.

[9] After retiring, Grier served as a scout with the Chicago Blackhawks and an assistant coach with the New Jersey Devils before he was hired by the New York Rangers as hockey operations advisor on May 19, 2021.