The Belgian goalkeeper secured a transfer away from Anfield this summer after signing for Club Brugge earlier this month.
Mignolet had struggled to hold down a regular spot in the first team at Anfield following the arrival of Alisson Becker from AS Roma last summer.
The shot-stopper was part of Jurgen Klopp’s squad as they won the Champions League last season and finished as runners-up to Manchester City in the Premier League.
And the 31-year-old seems to think that the future is looking bright for Klopp’s side as the new Premier League season looms large.
Asked to send a message to Liverpool FC’s fans, Mignolet told the club website: “Just stay who you are, basically! It’s [the message is] fairly easy.
“I think if they can continue the support that they do at this moment in time and how they have been over the last few years then I’m sure more trophies will follow and the team will only perform better because of that.”
Liverpool FC will kick off the new Premier League season when the Reds take on Norwich City at Anfield on Friday night.
The Merseyside outfit will be aiming to go one step further than they did last season as they aim to try and win the Premier League trophy for the first time in their history.
Manchester City, meanwhile, take on West Ham United in east London on Saturday lunchtime in their season curtain-raiser.
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