Scott Brown featured for Celtic against Aberdeen in the Scottish League Cup on Sunday afternoon.
Everton have won just one of their first nine matches across all competitions.
Crystal Palace have been going through an alarming slide over the last couple of months.
The West Ham midfielder has come in for criticism so far this season.
Steve Bruce was appointed the Aston Villa manager in October.
Celtic manager Brendan Rodgers has already delivered his first trophy to the Glasgow club.
O'Shea remains positive about Sunderland despite a 2-0 loss to Liverpool at the weekend.
The Hammers players were pleased to get three points at Old Trafford.
Glasgow Rangers had the summer signing to thank as they came from behind to beat Partick Thistle.
Leeds United visit Liverpool at Anfield on Tuesday night.
José Mourinho is facing a third touchline ban in little more than a year after being sent to the stands for the third time in 20 Premier League matches during Manchester United’s 1-1 draw with West Ham United at Old Trafford on Sunday.
The Crystal Palace co-owners will need to see evidence that Alan Pardew is willing to make radical changes to his own approach and to gauge the players’ reaction in training this week before determining whether he still has a future as manager of the ailing London club.