Hazem Atallah's comments came as cracks began to show in the Palestinian reconciliation deal mediated by Egypt over the issue of security control of the Gaza Strip.
The Palestinian Authority (PA) is due to retake control of the Gaza Strip, currently still run by Islamist movement Hamas, by December 1.
"We are talking about one authority, one law, one gun," Atallah told journalists in Ramallah in the occupied West Bank, echoing a line from Palestinian president Mahmud Abbas.
"It is impossible. How can I do security when there are all these rockets and guns and whatever? Is this possible? It doesn't work.
"Otherwise how can I be in charge? Who is going to be standing and saying 'I am the chief of police, I am in charge,' if I am not controlling everything?"
He said the 8,000-9,000 Palestinian police who worked in Gaza before Hamas took over in 2007 would return to their posts, rejecting the idea of merging with the existing Hamas- led police.
Hamas seized Gaza in 2007 following a near civil war with Fatah, which currently dominates the PA.
Last month the two political parties signed an Egyptian- brokered reconciliation agreement under which Hamas is meant to hand over control of Gaza by December 1.
The agreement signed in Cairo does not specify the future for Hamas's vast armed wing, the Ezzedine al-Qassam Brigades. Hamas has so far refused to disarm.
On November 1, Hamas handed over control of border crossings in a first key test.
But in a sign of tension, Palestinian prime minister Rami Hamdallah said Tuesday the PA still did not have full control of the crossings, with Hamas dominating the police and security inside Gaza.
Hamas, which is considered a terrorist organisation by the United States and the European Union, has fought three wars with Israel since 2008.
Israel has maintained a crippling blockade on Gaza for a decade, while Egypt has also kept its border largely closed in recent years.
Multiple previous reconciliation attempts have failed.
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