• Brendan Rodgers says it will take huge bid for club to sell • 'He is a wonderful player and still very much a Liverpool player'

The Liverpool manager, Brendan Rodgers, has insisted the striker Luis Suárez will remain with the Reds "unless something drastic happens" – while also stressing no player is bigger than the club.

Although Suárez's desire to leave Anfield this summer has seemed clear from various interviews he has given over the last few weeks, Liverpool have emphasised they do not intend to sell the Uruguay international and rejected an offer – understood to be £30m – for him from Arsenal.

This week Liverpool confirmed Suárez had been named in the 27-man squad for their pre-season tour of Indonesia, Australia and Thailand, saying he was one of three players – all given extended leave due to being involved in last month's Confederations Cup – who would be joining the party "later on in the tour".

And, speaking to reporters at a press conference in Jakarta on Thursday, Rodgers said: "Luis Suárez is a wonderful player and he is still very much a Liverpool player. No matter who the player is, nobody is bigger than Liverpool Football Club.

"Luis is a very important member of this squad and I am looking forward to working with him again this season after he had such a fantastic season. There has been lots of speculation about Luis moving to another club but, as I said, he is very much a Liverpool player. We had an offer that was nowhere near what we value him at. He's one of the top strikers in the world.

"Of course he wants to work and play at the top level. But unless something drastic happens, he will be staying here. He has got three years left on his contract. We are looking forward to him helping us get into the Champions League spots.

"That's a competition we are fighting to get into. The great name and history of Liverpool dictates we should be in that competition. It is difficult these days with the finance some clubs have but I believe that we will put up a great fight this season. Let's hope we can get back to where we belong."

Luis Suarez is unsettled at Liverpool. Photograph: John Powell/Liverpool FC via Getty Images

Last season – Rodgers's first as Liverpool manager, in which they finished seventh in the Barclays Premier League – Suárez was a major success in front of goal, scoring 30 times. But the 26-year-old's campaign ended controversially after he was handed a 10-game ban, six matches of which he is still to serve, for biting the Chelsea defender Branislav Ivanovic during a fixture at Anfield.

Regarding that incident, Rodgers said: "What Luis did was wrong. He apologised to me and to his team-mates and the supporters. He will serve his punishment and now we have to put it behind us. We will move on and move on together. He knew what he did was wrong and he was told he was wrong by the football club."

Liverpool, who flew out from John Lennon Airport on Tuesday, will play an Indonesia XI in Jakarta on Saturday, Melbourne Victory in Australia on 24 July and then Thailand in Bangkok on 28 July.