Manager Arsene Wenger confirmed the midfield duo have been afforded a rest for Thursday's match at the Emirates Stadium after their global endeavours with Germany and Wales respectively.
Wenger, though, is not using the weekend's fixture as an excuse for an under-par display in Europe three days beforehand.
Goalkeeper Petr Cech, defender Laurent Koscielny, midfielders Aaron Ramsey and Granti Xhaka, as well as goalscorer Danny Welbeck also sat out the session.
"We have done that for 20 years and 20 years by doing it in the Premier League". If we're struggling, I'm all for taking the risk.
"I believe that first of all [he has] to continue to work with the spirit he works and focus. There was always huge pressure to come back as quickly as possible", Wenger said. We need to keep the focus high and improve ourselves. "Every game is an opportunity for him and this season is a good opportunity for him as well".
U.S. calls for United Nations vote on Monday over fresh North Korea sanctions
United States President Donald Trump on Thursday said that military action against a defiant North Korea was "not inevitable". Recent missile tests point to advancements by North Korea in developing a missile that could reach the continental US.
Forward Alexis Sanchez could play in order to regain match fitness, following his delayed start to the season, while injury-plagued Jack Wilshere is in contention for a first Arsenal appearance since May 2016. He's doing well in training, getting stronger and stronger each day.
Arsenal will play their first Europa League game in 17 years when we welcome Bundesliga outfit Cologne to the Emirates on Thursday night.
"We were one point short (of the Champions League)", Wenger said in his pre-match press conference on Wednesday.
Chelsea endured a spluttering start to the last campaign before a run of 13 successive wins propelled them to the top of England's top tier - a position they didn't relinquish as they secured a second league trophy in three seasons.
"So you decide what you want to do-either you take it seriously and you go to win it and you give yourself the chance to do it or you give yourself different priorities and see how it goes".