Eller skated into the offensive zone and snapped a wrist shot from the right face-off circle past Spencer Knigh. It was Eller's first goal in 12 games this season.
Sandis Vilmanis and Matthew Tkachuk also scored for the Panthers (6-4-2), who lost the first two of their four-game road trip by a combined score of 9-1. Akira Schmid made 20 saves.
Ryan Greene and Roman Kantserov scored, and Knight made 29 saves for the Blackhawks (3-8-0), who went 0-for-7 on the power play and have scored three goals over three straight losses.
Greene gave Chicago a 1-0 lead at 2:34 of the first period. Andrew Mangiapane collected the puck behind the net and made a quick backhand pass to Greene, who scored on a forehand shot for his first goal in 11 games this season.
Vilmanis tied it 1-1 at 6:49 on a redirection of a shot by Sam Reinhart for his first goal this season in 11 games.
Tkachuk gave Florida a 2-1 lead at 14:21, just five seconds into a power play. Seth Jones’ shot from the high slot deflected into the net off Tkachuk’s body, ending his six-game goal drought.
The Panthers outshot the Blackhawks 15-6 in the first.
Kantserov tied it 2-2 at 11:15 of the second period. Patrick Kane fed the puck out from the goal line to Kantserov, who scored on a wrist shot from the right circle.