Man United and Arsenal played out a 1-1 draw at Old Trafford on Monday night, with Aubameyang cancelling out McTominay's first half opener.
The result moves Arsenal back into the Champions League places on goal difference ahead of West Ham, while United are now three points off the top four.
The former Liverpool defender,
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Carragher believes that the result should hand Chelsea encouragement in their pursuit of Champions League football.
“The one team looking at that tonight who will be encouraged is Chelsea," the former Liverpool defender told.
"At the start of the season, I thought Chelsea might struggle to get into the top-four. It will still be a fight but even in these early stages, they have more quality than what we have seen from these two teams.”
Frank Lampard's side are a point off the top four in the Premier League table after picking up their first win at Stamford Bridge in the Premier League this season.
A second-half penalty from Jorginho set the Blues on their way against Brighton before Willian completed the scoring 14 minutes from time.