Hazard has been heavily linked with a move to Real Madrid this summer and Carragher feels the time is now right for the Belgian to make the switch to Zinedine Zidanes side.
Suarez, meanwhile, was wanted by Arsenal in 2013 before he eventually joined Barcelona a year later.
And Carragher has revealed how he and ex-Liverpool captain Steven Gerrard stopped the Uruguayan from moving to Arsenal because they felt the Gunners were not good enough.
I dont think you can ever stop players moving to Real Madrid and Barcelona, Carragher told Sky Sports.
I think most players see that as the pinnacle, and its happened at both our clubs, Manchester United and Liverpool.
I think Hazard is too good for Chelsea, right now. Hes that good a player.
I think of Luis Suarez when he was at Liverpool.
I wanted him to stay, but I knew in my head. This was something I spoke about with Steven Gerrard when he nearly went to Arsenal.
We actually said, Youre too good for Arsenal. If youre going to leave, you have to go to Barcelona.