Midfielders Corey Roper, Daniel Rowe and Matty Dixon plus goalkeeper Dan Dixon have re-signed.
White, 31, is the latest high profile departure from the Seasiders since the end of the season, following the likes of Dale Hopson and Matthew Tymon out of the exit door.
He said: “I have made the decision to move on and start a new challenge.
“I would like to thank David McTiernan for getting me back to the club. I would also like to give a massive thank you to the fans for their support over the past two seasons I appreciate each and every one of them.
“It’s been a difficult decision because Whitby are a great club with great supporters and I have loved my time back at the club but it’s a decision I believe is the right one for me.”
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