Far-right Finance Minister Bezalel Smotrich earlier proposed also removing Palestinians from the West Bank, where Israeli settlers have been carrying out a growing number of attacks.
US President Donald Trump, at the start of his second term, stunned much of the world by calling for all two million Palestinians to leave the Gaza Strip.
Two brothers and another relative died in a strike on the family's home outside Khan Younis, officials at Nasser Hospital said. Israel's military said it was not aware of a strike in Khan Younis.
Mladenov warned of the distance between the roadmap and what’s happening on the ground, and said if war resumes, there won’t be a roadmap to return to or anything left on the ground to rebuild.
Israel has warned that kites launched from Gaza will be treated as military threats, while Palestinians say they are children’s toys and fear the policy could trigger further escalation.