The Bees won 4-1, with Bryan Mbeumo struck a hat-trick on the day.
Frank said: "I think we were excellent in the first half - especially in our attitude. In the second half, I think we started out slowly, and Port Vale came after us a little bit.
"When we scored the second goal, I thought the match was decided, but they scored a nice goal, and in a period of 10-15 minutes there was a really good FA Cup atmosphere.
"The good thing was that we had brought Bryan on the field. He settled the match with the third and fourth goals.
"I love my team because it's not easy to come here and play. There were a lot of good things today."
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