Compatriot Sergio Perez said it would be a shame if Gutierrez leaves Formula One.
"He showed good speed," said the Force India driver, "but the results did not meet expectations."
"He may get another chance in Formula One or another series, and I wish him all the best because he's a talented driver," added Perez.
Gutierrez meanwhile admitted to mixed feelings over his F1 future.
"Am I worried? Yes and no," he said. "Whatever happens, I don't change as a person, it's just life goes on."
Bahrain International Circuit - Winter testing
Would you like to stay up to date with the latest Lewis Hamilton and Formula 1 news from GPtoday? Activate free push notifications and be the first to know!