Gerrard, 32, told a press conference in Krakow he had relished the opportunity to captain his country and would continue to do it for as long as he was required.
He said: "I've had a brief chat with the manager and he's told me he wants me to continue and I'm there, I'm available as long as I'm wanted at this level.
"I've loved the responsibility and I've enjoyed every minute of it.
"I've tried my best, I've given it everything I've got. I've given it my best shot."