Everton supporters are demanding change this summer after a topsy turvy season under Ronald Koeman and then Allardyce.
The former England boss did the job of lifting the Toffees out of the relegation zone and into what is likely to be the highest position they can finish, eighth.
But supporters are already fed up with the style of football on display at Goodison Park and Allardyce is under pressure to keep his job with Sky Sports reporting that he could leave the club today.
“I know Sam really well and as soon as he took over at Everton, you knew they were going to be safe and that he’d get results for sure, because he’s fantastic at doing that," Noble told whufc.com.
"The Everton fans are still not happy, though.
"We watched their game the other night and they were booed off at half-time, but Sam’s done the job that he was asked to do and I think he’s been fantastic.
“Obviously fans want to see a certain way of playing, but three points are so important at the end of the day.
"For the Chairman and Board of that football club, it’s so big to go into next season in the Premier League.”