The 43-year-old was sacked following Liverpool’s goalless draw with Everton in the Merseyside derby at Goodison Park after a disappointing start to the season.
It takes you a year to find your feet. The history of the club is unique. The history inspired me
Rodgers led Liverpool to a memorable second-place finish in 2014 after the Reds squandered their lead in the title race in two of their final three games of the season.
Speaking on Sky Sports ahead of Liverpool’s clash against bitter rivals Manchester United on Sunday afternoon, Rodgers reflected on his Reds spell after having taken over the reins in 2012.
“I feel very proud to have had the opportunity to be manager of such a great club,” Rodgers said.
“Liverpool is one of the great institutions of the world.
“The opportunity to be manager there for over three years was a real privilege for me and I thoroughly enjoyed it.
“You don’t realise how big the club is until you are in. Every word you say goes throughout the world. You are under scrutiny like you have never known before.
“It takes you a year to find your feet. The history of the club is unique. The history inspired me.
“It was one of the reasons I went there. I was in a great place at Swansea but when a club like Liverpool comes in for you it’s very difficult to say no.”
Rodgers was replaced by former Borussia Dortmund manager Jurgen Klopp after his sacking in October.
Liverpool are in ninth place in the table and six points behind fourth-placed Tottenham Hotspur in the race to secure a spot in next season’s Champions League.
Wales midfielder Joe Allen scored a dramatic equaliser in Liverpool’s 3-3 draw with Arsenal at Anfield in the Premier League on Wednesday night.
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