Pep Guardiola's team go to Molineux this evening (8.15pm) as they look to kick off their campaign with three points.
But they will be without German midfielder Gundogan, who has contracted coronavirus.
A City statement read: "Manchester City FC can confirm that Ilkay Gundogan has tested positive for COVID-19.
"Ilkay is now observing a 10-day period of self-isolation in accordance with Premier League and UK Government protocol on quarantine.
"Everyone at the Club wishes Ilkay a speedy recovery."
Aymeric Laporte and Riyad Mahrez both tested positive for Covid-19 too a matter of weeks ago.
And Gundogan becomes the third City player to be confirmed with coronavirus this month.
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The 29-year-old star will miss at least three games while he self-isolates.
After City's tough game against Wolves this evening, they host Bournemouth on Thursday in the Carabao Cup third round (7.45pm).
Their second Premier League match comes on Sunday at home to Leicester (4.30pm).