Schurrle picked up a muscle injury last week and missed Saturday's 4-1 win over Cardiff City, but after training with the squad earlier today at Cobham, has made the trip.
Cole sustained a rib injury in our 3-1 win at Norwich and, after sitting out the win against Cardiff, as well as England's World Cup qualifiers against Montenegro and Poland, also trained this morning.
However, Jose Mourinho believes tomorrow's game has come just too soon for the left-back and he has remained in the UK.
Aside from Marco van Ginkel, a long-term absentee, Mourinho has no fresh injury concerns ahead of the game.
Much like our last European away game, against Steaua Bucharest last month, the first team squad have been joined on the plane by our Under-19s, who will play their Schalke counterparts tomorrow afternoon in the UEFA Youth League.
Dermot Drummy's side will look to build on successive 4-0 wins from their opening two matches in the competition.