The law, which was adopted earlier in July, reduces the power of two important anti-corruption bodies. It led to the largest protests in Ukraine since Russia invaded the country. Several of Ukraine's European allies have also directed sharp criticism.
"It is completely natural that people react when they do not like something or are worried", says Zelenskyj in a statement to journalists on Friday.
"The important thing is that we listened and responded in a good way", he continues.
Zelenskyj admitted that it "probably should have been a more comprehensive dialogue" before the law was adopted.
The government has put forward a new proposal that will restore the independence of Ukraine's national anti-corruption bureau (Nabu) and the specialized anti-corruption prosecutor (Sapo).
It is still unclear whether the parliament – where the majority support Zelenskyj – will vote yes to the new law proposal.