Lazier was born into a family with a rich auto racing history. Flinn's father, Buddy Lazier, won the 1996 Indianapolis 500, 2000 IRL Championship, and several more professional races. Bob Lazier (Flinn's grandfather) was the 1981 Indianapolis 500 rookie of the year and won the SCCA National Championship Runoffs in Formula B in 1971. Lastly, Jaques Lazier is Flinn's uncle. Jacques had won a single IndyCar Series race in 2001 and also won the SCCA National Championship Runoffs in Formula Vee in 1996.