Major League Soccer side DC United are interested in taking the Blues star to Washington, with the American outfit reportedly having agreed a 'deal in principle' for the 32-year-old.
But Fowler wrote for the Mirror: "I've spoken to Steven Gerrard about his time in the States, and he says anyone going there for an easy life is in for a shock, because, even if the quality is not there, the fitness levels, the competitiveness is and you are targeted too.
"I'm not sure whether, at 32, Wayne is ready for all that. Ideally, he would do another year at Everton and bring his experience to what surely has to be a season of rebuilding.
"But that all depends what is going on behind the scenes.
"I don't know Farhad Moshiri, but, after years and years of stability at the club, with one manager and a lot of consistency, they look all over the place now he's in charge.
"I wonder if he's still learning about football and if he's getting the right advice?"