The Reds made a winning start to their Premier League campaign on Sunday afternoon after a 4-3 victory over Arsenal at the Emirates Stadium.
Coutinho proved influential in north London as the Brazil international cancelled out Theo Walcott’s opener before the 24-year-old scored a second sandwiched between goals from Adam Lallana and Sadio Mane.
The South American was unable to inspire Jurgen Klopp’s side to a fourth-place finish last term as the Reds ended up in eighth place following an inconsistent campaign.
While Crooks doesn’t expect Liverpool to finish in the top four, the former Tottenham forward says Coutinho offers the Brazilian an outside chance of Champions League football.
“I don’t expect Liverpool to finish in the top four, but if they do, it is likely to be down the genius of Coutinho,” Crooks told BBC Sport.
Coutinho has scored 30 times in 146 appearances in all competitions since the Brazilian moved to Anfield from Inter Milan in a £8.5m deal in 2013.
Liverpool will travel to promoted side Burnley in their next Premier League fixture at Turf Moor on Saturday afternoon.
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