The young Sunderland goalkeeper had impressed on a loan spell with Preston North End.
With the Premier League season now drawing to a close, the focus of attention has turned towards the summer tournament in France.
England manager Roy Hodgson is yet to name his squad, having delayed the decision until Monday so he can further assess his options.
The goalkeeping spot is locked down, with Joe Hart number one and Fraser Forster number two, although the third space is as yet unknown following the injury to Jack Butland.
And rather hand it to an experienced pro such as Ben Foster, Nicholas says England should pick Sunderland youngster Pickford in the squad.
“Young Jordan Pickford from Sunderland is the sort of player I'd take a chance on to give experience to,” he told Sky Sports.
“I'd always say take a chance on a player who has the potential to become the next big prospect.”
Pickford has certainly impressed this season, first during a loan spell with Preston North End and then when recalled by Sunderland.
It would not do any harm to have him in the squad, with the experience likely to stand him in good stead for the future.
Indeed if England are eyeing him as a future first team star, then this could be the perfect opportunity to start him on that path.