"I am quite shocked and bemused at the statement that has been released by the club as we've just signed a player (Mark Allott) in the last few days," said Doyle.
"If it is a new start they seem to have mistimed it slightly."
Doyle felt it was unfair to hold Moore accountable for falling attendances at Prenton Park.
"I love Rovers to bits and I want the best for them but gates have been falling ever since we got relegated in 2000," he said.
"The gates have steadily gone down. In the Championship we were getting just over 9,000 on average so you can't blame Ronnie for that, it's been declining for many years."
Moore, who has also had spells as manager at Rotherham and Oldham, led Tranmere to ninth in League One in his first season, 11th in 2007/08 and seventh last season.
He had them within minutes of reaching the play-offs when they led 1-0 at Scunthorpe United on the final day of the season.
But Cliff Byrne scored an 88th-minute equaliser to clinch sixth place for the Iron instead, with Nigel Adkins' side going on to seal promotion by beating MK Dons in the semi-finals before winning 3-2 against Millwall at Wembley.
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