Rowing, 70, who will step down from his role at the end of the month, has been praised by club owner Patrick Cryne, new chairman Maurice Watkins and incoming chief executive Ben Mansford for leaving the Tykes in a healthy financial position.
But Rowing acknowledged the work done to help keep the club in the second tier for another year by manager David Flitcroft, his assistant Micky Mellon and coach Martin Scott.
"David earned the right to become the club's first-team manager by what he achieved from January and that speaks for itself, but you've also got to mention the contribution made by Micky Mellon and Martin Scott," Rowing told Press Association Sport.
"They have both had great input into the change of direction in how the team played and the coaching methods and they have to be recognised for that.
"All three of them are very hungry for success and the first step next season is to take Barnsley higher up the Championship."
Rowing will end almost a decade at Oakwell, first as general manager, director and latterly chief executive.
"It's always sad when it comes to an end, but age catches up with us and I made the decision two weeks ago," he added.
"I've been very fortunate in that during my nine years we've been in the Championship for most of that time.
"I've been to the Millennium Stadium with the club, to Wembley and some big grounds during our runs in the FA Cup and some big clubs have come to Oakwell. I've thoroughly enjoyed the vast majority of my time here."