The Brazil international was the standout player at the Emirates Stadium last weekend as the 24-year-old cancelled out Theo Walcott’s opener in the Premier League clash on Sunday afternoon.
Coutinho added Liverpool’s third goal after Adam Lallana had put the 18-time English champions ahead before Sadio Mane’s superb solo goal sealed a 4-3 victory over Arsenal in north London.
The Brazilian was signed in an £8.5m deal from Serie A giants Inter Milan under Jurgen Klopp’s predecessor Brendan Rodgers in January 2013 and Coutinho has been steadily improving at Anfield.
However, former Liverpool defender Carragher, who played alongside the Brazilian playmaker for six months before retiring in May 2013, believes Coutinho needs to inspire his team-mates to silverware to become a true Liverpool great and match the likes of Hazard and Ozil.
“He has actually gone up a level but there is still another level for him to reach — it is all well and good being Liverpool’s best player but can he be the most creative player in the League?” Carragher told The Daily Mail.
“He has got to be aiming to surpass Eden Hazard, Mesut Ozil and Riyad Mahrez. That is the level. There is no question he has the ability and that is why I feel disappointed when I look back at the Europa League final against Sevilla and think of his performance.
“Coutinho is now Liverpool’s ‘go-to’ man. Without Steven Gerrard and Luis Suarez, Coutinho has got to win trophies for Liverpool to become the player I believe he can.”
Coutinho scored eight times in 26 Premier League games for Liverpool last season.
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