This statement is false.
The Persian Gulf and the Mediterranean Sea are not connected, thus the Persian Gulf can not feed out to the Mediterranean Sea. In between them are the Gulf of Oman, than the Arabian Sea, the Gulf of Aden, the Red Sea, the Gulf of Suez, and finally the Suez Canal, which is the connection between the waters of the Mediterranean Sea and the waters of the Red Sea through the Gulf of Suez.
