"It was his dream (to move to Barcelona) and there was a moment when we had to accept that".
'It's good for him, ' Hazard told Italian newspaper Corriere dello Sport.
Asked about reports the player, who has only just returned to fitness having not featured since December 7, could leave the Reds boss added: "That is part of the transfer window so I have nothing to say about it".
The Liverpool manager added: "You can not use him if he's not 100 per cent. Philippe Coutinho is a world class player but if he's not 100 per cent, he's not that worldwide class, Premier League class, then you lose the grip".
The Brazilian did not play in Liverpool's last two games against Burnley in the Premier League and Everton in the FA Cup. You need to react.
"But it was clear that's over now - he can not do that anymore so we made that decision". If we'd have said what we could have done - here's your contract, and you have to stay here - it would have been hard to use him in the second part of the season. Do I think I can use him and can he help us?' "I just want him to be one of the best players in the world and to enjoy what he can do".
The Brazilian left for Barcelona for £142million on Monday and Klopp suggested that Liverpool may not sign a direct replacement for Coutinho.
"We will have 11 players and we've played fantastic football without Phil".
"In a game like this you need to show you can cause them more problems than other teams and make their life hard".
"But goals you would like to think that if he starts to work on his calmness, pose, do what you have to do, he is going to destroy teams even more so than what he is doing right now because I think he missed more goals than he scored".
"We have open eyes through this transfer window but we will not make insane things".
"I haven't really even thought about Phil leaving", he said. "That's easy because we still have fantastic players here and if we have difficulties in the next few games, we don't have them because Phil is not here anymore - we have them because we have difficulties, that's all". He is a player of Leipzig. "We will not make insane things".
"Of course, is a master of the counter attack, so they're a team who can arrive in the finishing area in three or four touches".