I've been asked that a few times, the most recent while walking into a Birmingham hotel on a Sunday evening after Manchester City had played Aston Villa. Eriksson is now Manchester City's manager but before that he managed the (hapless) England soccer team.
Yes, there is a resemblance, particularly as we have similar hair lines and both tend to look over the top of our reading glasses. But there it ends. He's a millionaire, I'm not, as I pointed out to a Scotsman at Luanda airport a few years ago who also thought I might be the England manager. But the Scot reconsidered after a moment and said "But why would you be here?" Good point.
I'm just delighted that I don't look anything like Steve McClaren!