Caringheart,
all of God's prophets since Adam are part of the same belief, Al-Islam. Not all are mentioned by name in the Quran. Even though, this is not such an important mater whether Ezekiel is mentioned in the Quran or not, it cannot be ruled out that he is.
Please read this from the Wikipedia:
"Islamic tradition
Main article: Dhul-Kifl
Ezekiel is recognized as a prophet in Islamic tradition. Although not mentioned in the Qur'an by the name, all Muslim scholars, both classical[11] and modern[12] have included Ezekiel in the prophetic pantheon.
The Qur'an mentions a prophet called Zul-Kifl. This prophet is sometimes identified with Ezekiel although Zul-Kifl's identity is disputed. Carsten Niebuhr, in his Reisebeschreibung nach Arabian,[13] says he visited Al Kifl in Iraq, midway between Najaf and Hilla and said Kifl was the Arabic form of Ezekiel. He further explained in his book that Ezekiel's Tomb was present in Al Kifl and that the Jews came to it on pilgrimage. The name Zul-Kifl would mean "One of double", as Kifl in Arabic means "double". Some Islamic scholars have likened Ezekiel's mission to the description of Dhul-Kifl. When the exile, monarchy, and state were annihilated, a political and national life was no longer possible. In the absence of a worldly foundation it became necessary to build a spiritual one and Ezekiel performed this mission by observing the signs of the time and deducing his doctrines from them. In conformity with the two parts of his book, his personality and his preaching are alike twofold, and the title Zul-Kifl means "the one of double" Aside from the possible identification of Zul-Kifl with Ezekiel, Muslims have viewed Ezekiel as a prophet, regardless of his identification with Zul-Kifl. Therefore, two main views on Ezekiel are popular in Muslim theology:
One views Ezekiel and Zul-Kifl as two different prophets.
One views Ezekiel and Zul-Kifl as the same prophet.
Ezekiel appears in all Muslim collections of Stories of the Prophets.[14] Muslim exegesis further lists Ezekiel's father as Buzi (Budhi) and Ezekiel is given the title ibn al-adjus, denoting "son of the old", as his parents are supposed to have been very old when he was born. A tradition, which resembles that of Hannah and Samuel in the Hebrew Bible, states that Ezekiel's mother prayed to God in old age for the birth of an offspring and was given Ezekiel as a gift from God.[15]"
Hasan