The Republic of Ireland kick off their Euro 2016 campaign on Monday as they take on Sweden at the Stade de France.
Much of the build up to the game has been regarding superstar striker Ibrahimovic, with questions about whether the Irish defence can keep him at bay.
And Randolph has admitted as much, saying if they can keep the striker quiet then they have got a better chance of getting a good result in their Euro 2016 encounter.
“The one question people keep asking me all the time is how you stop Ibrahimovic,” he told whufc.com.
“He has proved time and time again how good he is. He is obviously their danger man and if we can manage to keep him quiet during the game then we have got a chance of getting a good result.
It will certainly be interesting to see how the Republic of Ireland fare in their tournament opener.
They will know that they will need to beat Sweden if they are to stand any chance of progressing from what is a tricky Group E. Belgium and Italy are the other two teams in the group and will offer tough competition for those top two spots.
A strong result against Sweden though, and Martin O’Neill’s side could be confident of making it through to the latter stages at least via third spot if not better.