The Denmark fullback was sold by the Bees this week.
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Frank said, "His journey has been fantastic. He started on the B team.
"He was ready every single time, and he never failed us. At a minimum, he was always solid.
"He has also been part of some of our biggest moments in the Premier League. The victories over City, Liverpool, United and Chelsea. What a story."
Roerslev's last match was last weekend's victory over Crystal Palace, where he subsequently said goodbye.
"He said a few things after the match against the Palace, and it got a little emotional. I actually get goosebumps from it now.
"He is a great example of what our environment and culture mean.
"He deserves a lot of praise."