The champions have had 48 hours longer to rest after their pair's European exploits.
Kolasinac scored Arsenal's opener after coming on in the second half.
Arsenal boss said police decision to play the game after 60 minute delay was a "risk".
Cologne fans storm the turnstiles and fight with police in Europa League opener at Arsenal.
Dietmar Hamann says Alex Oxlade-Chamberlain does not add any value to the side.
Wilshere is yet to feature for the Gunners this season after recovering from a broken leg.
Arsenal's hopes of finally signing the France international over after inclusion of exit clause.
Wenger remains hopeful that Arsenal can agree a new deal with Ozil.
Both players were sidelined over the weekend but returned to training on Monday.
Mesut Ozil and Aaron Ramsey among those who will sit out the Europa League opener at The Emirates Stadium.
Marseille and Lyon were also linked with a move for the France international in the summer.
Reports in Germany suggest Ozil will not sign a new deal and will join Alexis Sanchez out of the Emirates in the summer.
The Spain international last featured for Arsene Wenger's side in October 2016.
The Gunners initially demanded £12m but the Baggies got their man for £5m.
Arsenal failed to make the top four for the first time in 21 years during the 2016/17 season.
The couple has been dating since November 2016.
The Spaniard spoke to IBTimes UK following the Gunners' 3-0 victory over Bournemouth.
Wenger has won three titles at Arsenal and seven FA Cups.
Wilshere did not leave Arsenal during the transfer window and has just one year left on his contract.
The Gunners begin their Europa League campaign against Germany's bottom side.
The Belgian returned during the international break after ankle surges this summer.
The Chile international almost left the club for Man City on transfer deadline day.