The club will today announce Bilic has been sacked following the dire 4-1 defeat to Liverpool on Saturday.
Gale spoke on Sky Sports this morning and he’s suggested Moyes is poised to replace the Croat at the London Stadium.
Gale said: “It’s getting really painful at the moment – as it has been for the last 15 months or so.
“If you look back to last season, it wasn’t a good season, it was the first at the new stadium and the Dimitri Payet thing that went on.
“Every game seemed to be his last game and we seem to be doing everything in public and it’s not right.
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“Even this at the moment, we kind of know he [Bilic] is going, we kind of know David Moyes is coming in. All the world knows and we’re not putting it out in public yet.
“It’s a public thing that’s going on and I don’t like the way it’s being done because Slaven Bilic is a good man, a really good man.
“It looks like Slav’s going. David Moyes is there and available.”
Moyes has flopped at Manchester United, Real Sociedad and Sunderland and West Ham fans have voiced their discontent at the Scot in messages sent to chairman Gold on Twitter.
But Gale thinks the appointment of Moyes could be a good one – and points back to his success at Everton to justify why.
He added: “He’s got a few scars at the moment and I know David well, everyone in the game says he’s a good manager and a good coach as well particularly at Everton.
“The Manchester United job was a really tough job to take on and of course Sunderland, and the little Spanish thing in between. Sunderland was a job, in hindsight, he shouldn’t have taken on.
“You just have to look at it and think of David Moyes in his Everton days. He was a good manager and if I’m a West Ham fan – I am a West Ham fan – that’s how I would look at it.
“He was a good manager then and it doesn’t stop you being a good manager now.”