The former Burnley, Bolton Wanderers and Wigan Athletic boss parted ways with the Houston Dynamo by mutual consent this week after a disappointing 18-month stint in the USA.
Nigel Pearson has become the new Derby County manager.
Ibrox side Rangers won the Scottish Championship title this past season and will play in the Scottish Premiership during the 2016-17 campaign.
Clarke has decided to remain at Bristol Rovers for the time being.
O'Shea was limited to a role on the bench for much of Sunderland's successful survival bid, but he insists he is ready to shine for Ireland.
Rafa Benitez signed a new deal at Newcastle United this week.
The former Brighton star could be the perfect addition for Rangers boss Mark Warburton at Ibrox.
Ronald Matarrita will be starting at left-back instead of the Everton man.
Liverpool, Manchester United, Arsenal, Manchester City, Leicester City, Southampton and Everton players feature in the game at the Stadium of Light.
The Tottenham chairman was in a meeting with the Tottenham Hotspur Supporters' Trust this week.