Ibrahimovic and Pogba both made their comebacks in the 4-1 win against Newcastle on Saturday - Ibrahimovic after seven months out with a knee injury and Pogba after missing 12 games with a hamstring problem.
The veteran striker Ibrahimovic made his return from injury as United defeated Newcastle in the Premier League last weekend.
"When you play for such a club, the expectation is fantastic and you always have to win", he told ESPN FC.
His then world-record £89.3 million ($118.2 million, 100.6 million euros) transfer from Juventus a year ago created huge expectations and although his first season was successful, there were few fireworks.
"We all know, myself and the fellow players, that certain players influence the levels of the team".
After a decade of domination as his country's best player, Zlatan Ibrahimovic is no longer sitting atop the mountain of Swedish football, after failing to win the Swedish Golden Ball for the first time since 2006.
REUTERS Zlatan Ibrahimovic and Paul Pogba
-In an interview with ESPN FC, Juan Mata articulated what a "big boost" it is to have both Paul Pogba and Zlatan Ibrahimvoic back. Not really impressed by them.
"With Paul the same".
"It's about coming back and making a statement".
Manchester United's Zlatan Ibrahimovic celebrates scoring in the League Cup final against Southampton in February, which United won 3-2.
"Jose Mourinho knows what he is doing even when the number of players are limited because he's a victor and has been winning every season".
"I think Pogba is a big miss because of his confidence and arrogance", said former United captain Gary Neville after Mourinho's men succumbed to a 1-0 defeat at Chelsea.
"We have signed great additions to the squad". I am not anxious at all because I know what I do. "Jose said, 'Do whatever you want, I trust in you and you know what you have to do, ' so I was not anxious". We have to trust each other.
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