England will host Switzerland in a friendly at Wembley on February 6.
The match could potentially be the new England manager's first outing if the Football Association have appointed Steve McClaren's successor before then.
Switzerland have not played in England since a 1-1 draw in the opening match of Euro 96, when former Newcastle striker Alan Shearer was on target.
It will be the 20th time the two countries have met, with England winning 12 and drawing four of the encounters.
The FA have arranged the friendly in wake of England's failure to qualify for next year's Euro 2008 finals which cost McClaren his position as head coach.
A friendly against France at the Stade de France to take play on March 26 had already been arranged, while a contest against Scotland remains a possibility.
As yet no decision has been made on any matches to take place in the summer.
Plans have been mooted to stage a Celtic Cup tournament featuring the Home Nations, but the FA have played down such reports.
An FA spokesman said: "We have no firm plans in place at this stage and there have been no discussions over a Home International tournament."