Nugent, 22, has been only a bit-part player since his £6million summer move from Preston.
But with several players now set to now depart for the African Nations Cup, Redknapp believes it is a real chance for Nugent to impress.
The Pompey boss said: "This will do his confidence some good. It is up to him now.
"It has been difficult for him to get into the team, but he will get some games now and we can see what he can do.
"Hopefully he can prove a success."