Michael Ennis asked Cronulla to extend Pentrit's coach, Anthony Griffin, when he takes the clock to replace Shake Flanagan.
John Morris, who takes on a temporary basis, remains a favorite to leave the club with a job that expects to announce his plans next week.
Pennant's assistant Cameron Kirallo is considered another candidate, while Justin Holbrook's agreement with St. Helens can provide a blockade on the way to his chances.
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News Corp has announced that the club is considering two experienced coaches, but their identity remains shrouded in mystery.
Ennis, who won the 2016 championship with the sharks under Flanagan before retiring, claimed that Griffin and former North Queensland and Gold Coast coach Neil Henry should be considered favorites.
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He said the club had a prime window and needed an experienced mentor to lead them to the second title.
"I would probably rely on Anthony Griffin to be honest," Ennis told Fox Sports.
"It's just a matter of fact that last year they did a huge job in Penn. They were in the top four for most of the season before taking the bag.
"You put someone with a little youth and enthusiasm next to him as an assistant and they can do some damage with this list."
A potential block of Griffin considered a position is the deterioration of his relationship with Matt Moylan, which led to the exit of the former captain of the Pantheith to sharks.
The two clashed over Mollyan's desire to move to five-eighth.
Griffin later told him about his relationship with Mollane: "He was the captain of the club, played football football and never wanted to have such conflicts, but that happened."
Ennis said that sharks need a strong person who is capable of putting their stamp in the playing group.
"I'm really strong about this – that this toy group in Cronulla needs an experienced coach," he continued.
"They need someone who is an instructor, who is also a dictator, and has a really good balance to be able to listen to the playing group, but he can put his authority in the group."