The Chelsea player has been amid controversy in the Three Lions camp after being charged by the Football Association for branding the governing body "a bunch of twats" on Twitter.
Despite calls for Everton full-back Leighton Baines to be picked ahead of the 31-year-old, Gerrard believes that England need to make the most out of Cole as he nears the final few years of his career.
"It's been a pleasure to play with him over the years," BBC Sport quotes Gerrard as saying.
"He's been one of the best left-backs this country has ever produced. Let's enjoy the last few years of his time with us."