Rubuta ci gaba ga wannan sakin layi - Colorado Avalanche ta tsara shi na 45 a cikin 1999 NHL Entry Draft
, An yi musayar Grenier zuwa Boston Bruins tare da Brian Rolston, Samuel Pahlsson da kuma zagaye na 1 na zagaye na 2000 don Ray Bourque da Dave Andreychuk a ranar 6 ga Maris, 2000. Ba a sanya hannu ta Boston ba, Grenier ya sanya hannu tare da Phoenix Coyotes kafin kakar wasa ta 2001-02. Tun lokacin da ya fara aikinsa, ya yi amfani da mafi yawan lokacinsa a AHL tare da 'yan kira zuwa NHL tare da Coyotes, Vancouver Canucks, da Philadelphia Flyers.