The opener came in controversial circumstances, however, when Ander Herrera appeared to control the ball with his arm before superbly setting up Marcus Rashford, who fired past Asmir Begovic.
The 35-year-old Swedish striker believes Chelsea have benefited from their lack of European football, while United have been involved in the Europa League.
The pace Rashford showed in putting away Ander Herrera's throughball for the opening goal was something Ibrahimovic could not have matched and his telepathic link-up play with Jesse Lingard gave Mourinho's side a cutting dynamism in front of goal.
Picking Herrera as his man of the match, Neville added: "It could have been any one of the Manchester United players but he was the engine, the goal-scorer and the assister".
Chelsea have been recently deprived of their goalkeeper Thibaut Courtois, although Victor Moses has come back.
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The Red Devils produced one of their better displays under Jose Mourinho, who finally got to celebrate getting one over on his former employers at the third time of asking this term.
It worked to an extent while at the other end of the pitch, Chelsea striker Diego Costa was booked for a late challenge on Paul Pogba.
The midfielder didn't hesitate to go for goal and he sent a low effort towards the net, which deflected off Zouma and past Begovic to make it 2-0 to United.
Manchester United now turn their attentions back to Europa League affairs and the return leg of their quarter-final clash against Anderlecht at Old Trafford on Thursday night after the 1-1 draw in the first leg last week.
Two substitutions from Conte brought about two formation changes in quick succession; first to a 4-2-3-1 when Fabregas was brought on and then a 4-2-4 with Willian's introduction, both with Zouma and Azpiliceuta as fullbacks.
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