Paul Pogba put in another patchy performance for Manchester United in their Europa League game against FC Rostov at Old Trafford on Thursday night.
The Russians continued to push for a goal but ultimately, they would succumb to goal on the break from Juan Mata after a clever Ibrahimovic flick.
The world's most expensive player bore the brunt of the criticism as United exited the FA Cup at the hands of Chelsea.
United had the first chance of the night within the opening five minutes when Ander Herrera's corner was met by Marcos Rojo's powerful header - forcing a save from Rostov goalkeeper Nikita Medvedev.
The Frenchman was then followed off of the field by teammate Daley Blind who took a knock to the head and was replaced by Phil Jones.
The resurgent visitors, now seventh in the Russian Premier League, began to offer more of a threat which opened the game up in United's favour and the Reds' patience was rewarded in the 70th minute.
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The pitch was a nightmare at Rostov but I think it could be one of those slow nights where United are sat on a narrow lead before finishing them off.
Rostov struggled to create much in the attacking third, but Iranian attacker Sardar Azmoun did force Sergio Romero into a decent save.
Manchester United will discover who they face in the Europa League finals when the draw is made on Friday. It took a little while in terms of match time, but Ibrahimovic was back to doing Ibrahimovic things in short order.
Rostov did go close to levelling and taking the match to extra time, but Romero dived down to his right to tip substitute Aleksandr Bukharov's header around the post in acrobatic fashion and United ultimately clinched their spot in the quarter-finals.
The Reds will conclude a busy seven days with a trip to the Riverside Stadium on Sunday to face managerless Middlesbrough in the Premier League (kick-off 12:00 GMT).