Pierre-Emerick Aubameyang inspired a Gunners comeback as they overturned a two-goal deficit from the first leg to reach the quarter-finals.
The striker put the Gunners ahead within four minutes, firing in Aaron Ramsey’s cut-back, before setting up Ainsley Maitland-Niles at Emirates Stadium.
He then poked in Sead Kolasinac’s low cross after the break to make it 3-0.
Arsenal manager Unai Emery said he is “excited” by the prospect of winning his first trophy with the club following their 4-3 aggregate victory over Rennes to reach the quarter-finals of the Europa League.
Emery has already won the competition three times with former club Sevilla.
Arsenal were knocked out in the semi-finals of the Europa League last season under Arsene Wenger.
“We can feel the possibility of winning this title,” said Emery.
Meanwhile, Olivier Giroud scored a hat-trick as the Premier League side struck five times in Ukraine to complete an 8-0 aggregate win.
France forward Giroud’s early effort from Willian’s corner set the tone for the Blues, who arrived in Kiev with a commanding 3-0 lead from the first leg.
Giroud swept in his second of the night from Marcos Alonso’s sublime cross to register his eighth goal in the competition this season.
With the visitors in total control, Alonso tapped in the third goal from Callum Hudson-Odoi’s cross before the break.
Kiev captain Serhiy Sydorchuk went close to a consolation for the hosts in the second period, hitting the post from close range.
But Giroud completed his hat-trick with a header from another Willian corner before Hudson-Odoi’s placed effort put the gloss on a dominant display.
Chelsea will discover their quarter-final and potential semi-final opponents on Friday