“It’s been a phenomenal time and I’m so happy to say that I feel I have played a part in Burnley’s history, which I’ll always look back fondly on.
“I have had a lot of good times – and a few bad times personally – but these things happen and I wish the lads all the best.
“I’m sure they’re going to kick on again like we have done over the last number of years. I’m sad to go but it’s a part of my career I look back on fondly, along with the people I’ve met.”
Brady’s departure is the first confirmed movement in and out of Turf Moor this summer as Dyche begins to plan for next season and beyond.
“Robbie has been incredibly unfortunate with injuries,” said the Burnley boss.
“In his strongest spell for us – when he was really flying and helped us qualify for Europe – he got a really serious injury.
“He came back from that and one or two other injuries to play his part in a strong time for the club.
“When he has played, he has been a credit to himself and a good servant to us as a club and we wish him well in the future.”