The Egypt international has been in stunning form since joining the Reds in a club record deal over the summer.
His return of 20 goals and four assists has attracted admiring glances from afar, with Real boss Zinedine Zidane admitting to being a fan as his side are linked with a future approach.
Salah, though, has sought to shut down those rumours by announcing that he linked up with Jurgen Klopp’s side to help them land major honours.
He told Liverpool’s official website: “It’s going good for me here, but I always felt I would settle quickly. And I think I can get better, 100 per cent. I can improve on many things, so I have to keep working hard, I have to keep looking forward.
“As a team, I know we haven’t won the Premier League for a long time, so I would love to win it with Liverpool. We have a great team, we have a great manager, so everything is good at the club – and I am sure we can win trophies here together.”
Salah may have only been at Anfield for a matter of months, but he has revealed that he first harboured the ambition of joining Liverpool during a previous stint in England which saw him struggle to make an impact at Chelsea.
He said: “It was while I was at Chelsea that I first got to play at Anfield. I can remember I told myself – as I said on my very first day here – ‘I have to come here one day and play’ after I’d experienced that atmosphere.
“That atmosphere was unbelievable, really. I was very happy to play here against Liverpool – and now I am even happier to play for Liverpool here.”
Salah added on his desire to have a second shot at the Premier League: “I’d said to myself, ‘I want to come back to England’. It was always in my mind, coming back here. I wanted to play here and show everyone my football.
“When I realised I was very close to coming here, I was very, very happy – and after speaking to the boss for the first time after the deal was agreed, I was even happier.
“Why were Liverpool the right club for me? Because of many things. I even used to play as Liverpool on the PlayStation on FIFA when I was 18 or 19, as Steven Gerrard, Sami Hyypia, Jamie Carragher, Michael Owen and Xabi Alonso. I also remembered that atmosphere again and it came into my mind.”