Swans swept aside Cardiff in the second-half.
Solskjaer said: "The first 10 minutes, they were on the front foot but after that I think we weathered the storm, I think we did okay.
"They didn't create any chances before half-time and we were happy with the performance up until then.
"But after a bad start to the second half, it changed the game - goals always do. The first goal in a game like this is important.
"After that, we responded well. We had two massive chances, one with Craig (Bellamy) which hits the crossbar and one free-kick but that didn't go our way and then the lad (Dyer) scored a diving header in the corner.
"I'm bitterly disappointed and it hurts for a lot me, the players and fans of course."
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