Sagat played briefly with Dukla Trencin of the Slovak Extraliga, in 2002–03 before being drafted by the Toronto Maple Leafs in the 2003 NHL Entry Draft. To be closer to the Maple Leafs, Sagat joined the Kootenay Ice of the Western Hockey League for two years. Sagat then spent to years with Toronto's American Hockey League affiliate, the Toronto Marlies. After only 5 games in the ECHL with the Elmira Jackals in the 2007, Sagat left to continue his career in the Czech Republic, playing for various teams in the Czech Extraliga and the 1st Czech Republic Hockey League.