The teenage midfielder has impressed this season for The Gunners after making the breakthrough into the first-team.
The 18-year-old has played for Germany at youth level, but is yet to represent the senior side.
But now Low has given a big hint that Gnabry could force his way into his plans.
"Serge Gnabry is a very good lad," he told Cologne-based EXPRESS.
"He is a talented forward with excellent skills and he is also doing fine for his club.
"Of course, we are having close eyes on his personal progress at Arsenal FC."