The two-time Xfinity Series champion from Corning, California, led the final 16 laps and muscled away from Elliott en route to his first win in his 92nd start in NASCAR's premier series.
Denny Hamlin won the Busch Light Pole Award at Nashville Superspeedway Saturday afternoon after the final round of qualifying was canceled due to rain.
The 30-year-old Suarez from Monterrey, Mexico, became the first Mexican-born competitor to win in NASCAR's premier series following a dominant run in Sonoma, California.
The 2018 Cup Series champion led 20 of 242 over-scheduled laps and prevailed in a late crossover battle with Kyle Busch to capture the inaugural Cup event in Madison, Illinois.
Denny Hamlin started on pole at Charlotte, but faded quickly and was not much of a factor until a big wreck on an overtime restart left Hamlin with the lead. Hamlin battled Kyle Busch in the second overtime and edged his teammate by 0.014 seconds.
The 41-year-old Hamlin from Chesterfield, Virginia, led four times for 15 of 413 over-scheduled laps and outlasted the on-track chaos and two overtime attempts to notch his first 600 triumph at the Queen City.
The 28-year-old Blaney from High Point, North Carolina, survived an overtime shootout against Denny Hamlin to cash in a million dollars for the first time in his career at the Lone Star state.
Kurt Busch, the 2004 Cup Series champion from Las Vegas, Nevada, led a race-high 116 of 267 to notch his first victory in the Heartland State and his first driving for 23XI Racing.