Wijnaldum made his 237th and final appearance for the club helping them advance to the Champions League with a 2-0 win over Crystal Palace at Anfield on Sunday.
The 30-year-old, who is without a contract this summer, received a standing ovation from the crowd of 10,000 during his late substitution and after the game the Reds team and backstage staff offered an honor guard .
And Klopp insisted that all clubs interested in Wijnaldum – who are closely linked with Bayern Munich and Barcelona – would receive a categorical reference.
“I met this wonderful player in my living room at home because I had to see him and talk to him,” said the Reds boss, recalling the first meeting with the player before his £ 25million arrival from Newcastle United in 2016.
“From the first moment, it clicked between us because she is a very nice person, very intelligent and very open. It never changed. He just got better.
“It’s very emotional for me because I’m losing a friend and I will miss him but it’s normal in football that these things happen.
“I’m really sure he’ll find a great place. Every club that is interested in him should call me and ask me, because then they would take him – definitely.
Klopp added: “I couldn’t be more positive about what he’s done here. He was amazing. He wasn’t just always available, he played 90% of the time really, really well.
“People might not know exactly what I mean by good because sometimes it’s not that spectacular.
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“But from the young player who was an attacking number 10 to become a winger at Newcastle, to come here as a controlling midfielder, it’s a huge step. you can only do this if you understand the game.
“He scored some incredible and important goals – Barcelona, Cardiff were very important, Middlesbrough. So much top performance.
“Now it seems the time is over, but no one can take our memories back from us. We will share them forever
“I told him that after the game, and he sees it that way.
“Farewell wouldn’t be difficult if the time you spent together wasn’t worth it. It’s really difficult because we had a great time together.