The identities of the women, aged 26 and 27, were not released, but police said the 26-year-old may be charged with attempted assault and interfering with air traffic.
Both women were released, police said.
The rampage occurred when a flight attendant denied the women alcohol because they were visibly intoxicated, police said. The 26-year-old took a swipe at a cabin attendant with a bottle of vodka, then attempted to open a cabin door.
"Apparently the 26-year-old wanted to catch some fresh air," the statement said, in an effort to make light of the altercation.
The two women were taken into custody by police at the Frankfurt airport and given a breathalyzer test. Both were legally intoxicated.
After an hour in Frankfurt, the flight continued on to Manchester, England.
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