He took only 12 wickets for Kent as a medium-paced off-spinner but has been bowling slower recently and has been performing more effectively.
Born at Birmingham, he played a season with Gloucestershire in 1995 and did so well that the England selectors wanted to recruit him.
But he upset them and Gloucestershire by opting for a future with Australia.
He was a popular member of the Kent side and would be welcomed back.
Kent's Cricket Committee will meet on Thursday and is likely to defer a decision until Steve Waugh's Ashes squad is named late in March after the three Test series in India.
Mark Waugh hit 100 not out as Australia recorded their seventh successive limited overs victory.
Zimbabwe made 279 for six from their 50 overs with Alistair Campbell hitting 124.
Symonds and Steve Waugh (81) shared partnerships with Mark Waugh of 89 for the first wicket and 120 for the third wicket respectively.
Needing 5.80 runs per over from 50 overs to win, Australia reached the target with six overs to spare as Waugh, on 96 not out, declined several singles before hitting the winning boundary.
Earlier, Zimbabwe reached their highest one-day total against Australia, Campbell's 124 coming off 142 balls. He added 101 for the third wicket with Andy Flower (51 off 44 balls).
