The German winger was sitting next to the Brazilian trio of David Luiz, Ramires and Oscar on the way to Washington.
Mourinho has taken a 25 man squad to the States, which includes goalkeeper Henrique Hilario - who is currently out of contract.
Relaxed: Romelu Lukaku and Michael Essien share a joke as Chelsea prepare for take-off
Say cheese: Andre Schurrle (right) with David Luiz, Ramires and Oscar
He could be handed a new one-year deal, unless Jose Mourinho decides to keep youngster Jamal Blackman as third choice behind Petr Cech and Mark Schwarzer.
Young centre-back Tomas Kalas has been excluded because of injury and so has not flown with the team that will play four games before returning on August 10.
Chelsea's first match is at 1am on Thursday night against Inter Milan.
The likes of Juan Mata, David Luiz and Fernando Torres are preparing to make their first appearances in pre-season fixtures after returning from an extended rest spell.
Torres has had a new haircut for the trip, taken care of by celebrity hairdresser Leo Bancroft, which you can see below.
His future at the club has been the subject of speculation, given Mourinho's interest in bringing Wayne Rooney to Stamford Bridge.
Meanwhile, highly-rated midfielder Lewis Baker, 18, has signed a new three-year contract.
He excelled in the Next Gen series last season as Chelsea reached the final before losing to Aston Villa.
New look: Fernando Torres has had a haircut from Leo Bancroft