gills commentary says its the Christ
Christ himself is this Prince, and who has prepared himself a sacrifice, even for himself, his church, which is mystically himself; and to make atonement for all those sins which he took upon himself by imputation, and made his own; even for all his chosen people, and for all their sins: of his preparing this sacrifice, both to be offered up, and to be held forth in the ministry of the word; see Gill on Ezekiel 45:17, and who is very fitly represented by a bullock for his labouriousness and strength, in bearing the sins of his people, when he became an offering for them.
Looking at this at first glance i would say it wasnt the Christ,
if i look at hebrews 9:12
Neither by the blood of goats and calves, but by his own blood he entered in once into the holy place, having obtained eternal redemption [for us].
Christ entered by His own blood and not the blood of animals, so to me that would automatically declare this was not the prince.
the bible in ezekiel 46 talks about the prince making daily sacrifices and on the sabbath as well.
4 The burnt offering the prince brings to the LORD on the Sabbath day is to be six male lambs and a ram, all without defect. 5 The grain offering given with the ram is to be an ephah,[a] and the grain offering with the lambs is to be as much as he pleases, along with a hin[b] of olive oil for each ephah. 6 On the day of the New Moon he is to offer a young bull, six lambs and a ram, all without defect. 7 He is to provide as a grain offering one ephah with the bull, one ephah with the ram, and with the lambs as much as he wants to give, along with a hin of oil for each ephah. 8 When the prince enters, he is to go in through the portico of the gateway, and he is to come out the same way.
so im not sure who the prince is, i would say its a man, but i cant say it is the christ, as i see Jesus not doing none of this stuff in the new testament.