They escaped the drop on the final day of the season following a season of struggle which saw the Bluebirds go five months without a home win.
They survived on the last day but only after Woking failed to beat Dover Athletic.
But it appears Pennock will stay put and manager Andrew Casson has told the Barrow News & Mail that the former Gillingham, Welling and Forest Green has been told to make plans for next season.
Casson said: “Ady has a rolling one-year contract. It doesn't really expire, it just goes on until whatever the outcome is in the end.
“As far as we are concerned I spoke to his representaive on Monday and I spoke to Ady on Monday and Tuesday and as far as our conversations have gone it's pretty much been business as usual.
“He is talking to players he wants to bring in, he is talking to players at the club about their futures and he is starting to arrange pre-season friendlies and all that sort of stuff.
“Until I hear anything differently he is fully on board and he has got our backing.”
Overall it wasn’t the season the Bluebirds wanted, fighting at the wrong end of the table.
Pennock believes the future is bright but said there is a summer of “very hard work” ahead for him and his management team as they look to put together their squad for next season.