The President was given the jacket at a rally at Pensacola Bay in Florida on Friday, two days after saying the US embassy will move from Tel Aviv to the disputed city.
The move sparked protests in Israel and its war planes bombed Gaza yesterday, killing two Hamas gunmen, after rockets were fired from the enclave.
Two Palestinian protesters were also shot dead by Israeli troops on the Gaza border on Friday.
French President Emmanuel Macron spoke by telephone to Turkey’s leader Tayyip Erdogan yesterday with both agreeing to try to persuade the United States to reconsider its decision to recognise Jerusalem as the capital of Israel.
During the call, they agreed that Mr Trump’s declaration was worrying for the region.

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Mr Erdogan also spoke on the phone to the presidents of Kazakhstan, Lebanon and Azerbaijan yesterday and called for an urgent meeting of the Organisation of Islamic Cooperation in Turkey this week.
At the United Nations, France, Italy, Germany, Britain and Sweden called on the United States to “bring forward detailed proposals for an Israeli-Palestinian settlement”.
Demonstrations also took place in Iran, Jordan, Tunisia, Somalia, Yemen, Malaysia and Indonesia, and outside the US embassy in Berlin.
The status of Jerusalem has been one of the biggest obstacles to a peace agreement between Israel and the Palestinians for generations.