Glencross caught Drury with a shoulder to the head in the first minute of Calgary's 3-1 win Saturday night.
Rangers coach John Tortorella said Drury sustained a concussion and expressed his unhappiness with the lack of a penalty call at the time, saying: "it should have been a major. They missed it."
Glencross will be able to return Nov. 17 against the Colorado Avalanche. He'll forfeit $18,652.86 in pay.