Goals from Robert Huth and Marc Wilson helped end Stoke's run of three Premier League games without a win.
Kean was given the manager’s job until the end of the season earlier in the week, but anymore performances like this and with a bit of luck he’ll be sent packing.
He said at the end of the game: "We can understand the frustration of the fans and we are just as frustrated in the dressing room. There has been upheaval at the club but I don't want to make excuses because that is not the way I am.
"I was disappointed with the goals we gave away. When you look at the personnel that we don't have available it is difficult to get that balance in the middle. But that is no excuse because the lads put in there understood their roles.''