Matic, 29, was rested midweek in the Champions League victory over CSKA Moscow after playing the full 90 minutes against Arsenal last Saturday – a game he was deemed a major doubt for due to a muscular injury.
Ibrahimovic meanwhile did not make the bench in either of those matches having only just last month returned from a six-month injury layoff, while Phil Jones has not played since before November's international duty – returning from playing with England with a problem that infuriated his manager.
All three are ready and available for Sunday however, United have confirmed, with Mourinho also hopeful Marouane Fellaini can have some role to play after missing the last three games with a knee problem. Eric Bailly, another who has not played since November's international break, and Michael Carrick remain sidelined.
But while Matic has been cleared, Mourinho explained at a press conference on Friday that the Serbia international is still carrying a knock.
"Zlatan is available, Jones is available, Fellaini I have to wait until tomorrow, Carrick is not available, Bailly is not available. Matic is injured but he plays," Mourinho told reporters.
Paul Pogba meanwhile is another who will have no role to play. The France international was shown a straight red card in last week's victory over Arsenal and will begin a three-match suspension on Sunday.
United trail their neighbours by eight points at the summit of the Premier League and can close that gap with a victory on Sunday while also extending their own superb record at home to 41 games undefeated at Old Trafford.
A win or a draw would also see them deny City a new record of 14 consecutive Premier League victories.