"Donald Trump, the Turkish President or the Russian President see things in terms of power relationships, which doesn't bother me," the centrist leader told the Journal du Dimanche newspaper.
"I don't believe in diplomacy through public criticism but in my bilateral dialogues I don't let anything pass. That is how you get respect," he said.
The US leader's dominating hand contact with foreign heads of state has been closely scrutinised since he came to power last year, with his yanking of Japanese Prime Minister Shinzo Abe's hand towards him being one of the most striking incidents.
Macron's apparent victory over Trump in the handshake challenge will help burnish his credentials on the international stage.
He has been keen to dispel doubts about his presidential stature that have dogged him since he launched a wild-card presidential bid just six months ago.
But his toughest test so far is likely to come tomorrow, when he welcomes to Paris Russian President Vladimir Putin, whose country's role in Syria and Ukraine has sparked tension, and who openly supported Macron's presidential far-right rival Marine Le Pen.