The Liverpool striker was strongly linked with a move to Real Madrid over the summer.
Arsenal had a £40million plus £1 bid for Suarez rejected and Cavani insists that the striker was not keen on joining the Gunners.
Cavani said: “It is no surprise to me at all that Luis has come back for Liverpool and is scoring goals right away.
“He is the most complete striker in England – and one of the most complete strikers in the world. Ability and confidence is no issue for him, he will score a lot of goals this season I am sure.
“I am sure Liverpool fans are very happy Luis stayed – he will be a big player for them. I think Arsenal was not Luis’s dream move, maybe if it had been Real Madrid then it would have been a different outcome – but of course Madrid were concentrating on a different target this summer.
“It is his dream club – and a club he thinks is worth waiting for.”
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.