Tuhia he tomokanga mō tēnei whārangi - I muri i tētahi mahi hōkēki hukapapa rangatahi tino nui ki ngā Windsor Spitfires o te Ontario Hockey League (OHL), i tīpakohia a Gleason i te rauna tuatahi, i te 23 o te katoa o te 2001 NHL Entry Draft
e ngā Ottawa Senators. Kaore i taea te haere mai ki te kirimana ki nga Senators, ka hokona a Gleason ki nga Los Angeles Kings hei utu mo te anga whakamua a Bryan Smolinski i te Poutu-te-rangi 11, 2003.