Tim Visser's double, plus a penalty try and scores from Ross Ford and Sean Cox, did the damage for Bradley's men as they continued their record of never losing to Italian opposition on home soil.
Visser's tries see him on top of the RaboDirect PRO 12 scoring charts with six and left Bradley toasting a job well done.
"Obviously we're very happy with the five championship points, the boys worked hard in the first half," he said.
"Zebre came as we expected the defended well and made life difficult for us but I think we were patient and clinical when we got the opportunities.
"It was the same story in the second half. We made a couple of changes and lost our rhythm a little after the fourth try but Tim [Visser] finished it off with a breakaway try which was nice to see and I think that was a fair reflection of our dominance."
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