Kammala jumla mai zuwa: An haifi Hossa a Stará Ľubovňa, Czechoslovakia, ga František Hossa, wanda ya kasance dan wasan hockey na ƙwararru, da Mária Hossová, mai tsara tufafi. Dan uwan Hossa wanda ya girmi shi shekaru biyu, Marcel Hossa, kungiyar Montreal Canadiens ce ta zaba shi a matsayin na 16 a zagaye na farko a gasar cin kofin duniya na bana.
Zaɓin NHL na shekara ta 2000. Bayan bin sawunsa yana wasa don ƙungiyoyin matasa biyu na Marián, Dukla Trenčín da Portland Winter Hawks. Dukkanin Hossa sun buga wasa tare da Mora IK na Elitserien yayin kulle-kulle na NHL na 2004/05 da kuma a cikin tawagar 'yan wasan Slovakia a Gasar Cin Kofin Duniya da Wasannin Olympics na hunturu. Ba zato ba tsammani, ƙungiyoyin NHL ɗin su biyu sun yi ma'amala da su a ranar ranar ƙarshe na musayar 2007 <unk> 08 <unk> Marián daga Atlanta zuwa Pittsburgh da Marcel daga New York Rangers zuwa Phoenix Coyotes. Yaron Hossa ba ya wasa da wasan hockey na sana'a. Lokacinsa na ƙarshe ya kasance a cikin 2017<unk>18, inda ya buga wasa tare da HK Dukla Trencin. Hossa kuma ya girma tare da Marián Gáborík da Zdeno Chára a Trenčín, kuma ya kasance abokai na kusa da su a cikin aikin NHL. Trenčín ya girmama ƙungiyar ta uku ta hanyar kiran tituna uku bayan kowane skater a cikin 2015. Mahaifin Marián shi ne babban kocin kungiyar kwallon kafa ta Slovakia kuma ya horar da 'ya'yansa maza a gasa da yawa.