West Ham United winger Robert Snodgrass has been offered chances at the London Stadium.
Bilic brought Snodgrass to West Ham last year in a £10 million transfer (BBC Sport), but quickly discarded the winger, after a difficult first six months with the Hammers.
Snodgrass spent last season out on loan with Aston Villa, where he has impressed, and he has now come back into the first-team fold at the London Stadium.
The Scottish international has featured regularly under Pellegrini, who is clearly a fan of the 31-year-old.
And Snodgrass has suggested that Pellegrini is much more open to discussion with him than Bilic was.
He said: “I’m working with one of the best managers, he’s won the Premier League and La Liga and I can only learn from people like that.
“He’s been great with me, he’s always talking to me and from the off I spoke to the chairman and put that stuff on the back burner. We sorted that. I feel as though this is it starting [again] because under Bilic, there wasn’t a lot of communication and it was difficult. I wasn’t really playing in the right position, where he signed me for.”
Despite Snodgrass’ words, Pellegrini is coming under pressure already at West Ham.
The Chilean has failed to guide West Ham to even a point during his first four matches in charge at the London Stadium.
West Ham are currently sat at the bottom of the Premier League table, with their next match coming against Everton after the international break.
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