Rubuta ci gaba don wannan sakin layi - Bayan fitaccen aikin wasan hockey na matasa tare da Windsor Spitfires na Ontario Hockey League (OHL), Gleason an zaba shi a zagaye na farko, na 23 a cikin duka 2001 NHL Entry Draft
da Ottawa Sanatoci. Ba za a iya samun yarjejeniyar kwangila tare da Sanata ba, Gleason daga baya aka yi musayar shi zuwa Los Angeles Kings a musayar Bryan Smolinski a ranar 11 ga Maris, 2003.