The Sweden international scored either side of half-time in United’s 2-0 victory over Southampton at Old Trafford on Friday night.
Ibrahimovic broke the deadlock in the 34th minute after the former AC Milan and Juventus striker managed to rise above Southampton skipper Jose Fonte and power a header past Saints shot stopper Fraser Forster.
The 34-year-old four-time Ligue 1 winner added his second of the night from the penalty spot to take his tally to three goals in two Premier League appearances following his free transfer from Paris Saint-Germain this summer.
Former Liverpool defender Carragher claimed that Ibrahimovic is no unplayable in the air like his old Liverpool team-mate and current West Ham striker Andy Carroll.
“With Zlatan now, you could be talking about him being unplayable in the air,” Carragher told Sky Sports after Friday night’s 2-0 victory over Southampton.
“You’re thinking Duncan Ferguson in the past and Andy Carroll now. He has beaten Wes Morgan and Jose Fonte who are two big huge imposing centre-halves. He’s completely dominated both in the air.”
The Red Devils are at the top of the Premier League table after two successive top-flight wins to start the 2016/17 campaign.
United will make the trip to promoted side Hull City in their next Premier League fixture next Saturday.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news