The humiliating defeat follows an embarrassing early exit from the Europa League to Romanian minnows Astra during qualifying, a 4-1 defeat in the quarter-final of the EFL Cup to Manchester United and a torrid season in the Premier League which has Bilic's side sitting 13th in the table at the halfway stage.
Most supporters point the finger of blame at broken promises from the West Ham board over transfer spending following the big move to the Olympic Stadium.
West Ham United manager Slaven Bilic
Some are beginning to turn on the Croatian, who last term led the East Londoners to their best points tally - and first positive goal difference - since 1986.
And Gabbidon, a former Hammer of the Year during his time in East London, has been critical of Bilic on Twitter, insisting he cannot keep ignoring the club's emerging young talent.
Burke, Cullen and Samuelsen have been farmed out on loan, Oxford has been used sparingly since his big break through and has just returned from injury while Martinez and Browne have not got a look in despite impressing for the club's development side.
The pair combined to score a superb goal against Norwich's development side earlier this week and it prompted Gabbidon to call on Bilic to start using them in the first team.
"I think it's time isn't it???" Gabbidon replied to a video of the goal posted on West Ham's official Twitter account.
"Agreed (a few of the young players deserve a chance). Some real talent there, as good as anywhere about at that age, get them in I say, be great for the fans too."
Some real talent there as good as anywhere about at that age get them in I say be great for the fans too... https://t.co/DSEE2f093h— Daniel Gabbidon (@Gabbidon35) January 9, 2017
Indeed should West Ham manage to get to a position of relative safety in the Premier League the emergence of some of the club's young stars may be the only positive to come out of a torrid second season under Bilic.
After all the Hammers are famed for their Academy and have lost touch with that in recent years.
The manager made his name by nurturing Croatia's golden generation of stars and giving them a chance and he continued that good work at Besiktas too as they struggled financially.
But since giving Oxford his debut against Arsenal aged just 16 last season Bilic has disappointed some fans with his seeming reluctance to turn to youth, which was a major frustration supporters had with his predecessor Sam Allardyce.