Kammala jumla mai zuwa: Suter ya koma Wisconsin bayan aikinsa na wasa, ya zauna a ƙauyen karkara na Minocqua inda shi da matarsa Cathy suka tayar da iyalinsu. Suna da 'ya'ya maza biyu, Jake da Jared, dukansu biyu kuma suna wasan hockey. Jake ya kasance mai karewa ga UMass Lowell River Hawks. Baya ga 'ya'yansa maza, da yawa daga cikin' ya'yan Suter 'yan uwan ma' yan tsaro ne. Daga cikinsu akwai dan Bob Ryan, wanda kuma ya taka leda a NHL kuma dan wasan Olympics ne, kuma wanda Gary ya yi la'akari da yin ritaya don yin wasa tare da lokacin da matasa Suter suka rubuta ta Nashville Predators a
A shekara ta 2003. Maimakon haka, ya juya zuwa horarwa, yana aiki tare da shirin Madison Capitols, da kuma taimakawa tare da Lakeland Union High School T-Birds a Minocqua. Gary yana daya daga cikin membobin dangin Suter da ke gudanar da sansanin matasa na hockey a Madison wanda aka gudanar a shekara ta 17 a shekarar 2012.