Indeed, the Reds drew 2-2 with the Baggies at Anfield after a competitive clash which saw Liverpool only just salvage a point. At the end of the game, Klopp celebrated with the Kop (a gesture designed to reconnect players and fans more than anything) and refused to shake Tony Pulis's hand.
West Brom winger McClean clearly wasn't happy. But his comments haven't been received very well in the Liverpool camp - as you would expect.
Don Hutchison feels McClean should stick to playing football and also compared his quotes to his goading of Sunderland fans a few weeks ago on Twitter.
And Liverpool fans themselves have responded vociferously on social media, suggesting the West Brom man demanding more 'respect' from Klopp is ironic and contradictory when he himself is being insulting...
Here's how supporters reacted on Twitter to the 26-year-old's comments. Do you think he had a point - or was he just trying to grab the headlines as usual?
I know Klopp has an in depth knowledge of football but I doubt he even knows who James McClean is. #LFC— Graeme D. Wallace (@gwallace6) December 17, 2015