Isaiah 7:14 Therefore the Lord himself will give you a sign. Behold, the virgin shall conceive and bear a son, and shall call his name Immanuel .
ESV footnote  Immanuel means God is with us
Isaiah 8:8 and it will sweep on into Judah, it will overflow and pass on, reaching even to the neck, and its outspread wings will fill the breadth of your land, O Immanuel.” … 10 Take counsel together, but it will come to nothing; speak a word, but it will not stand, for God is with us.
ESV footnote The Hebrew for God is with us is Immanuel
Matthew 1:23 “Behold, the virgin shall conceive and bear a son, and they shall call his name Immanuel” which means, God with us.
There are stronger verses on which to argue that Jesus is God, or not — and a search of this site will produce Q&A on many of them (see, for example, the answers tagged with “Trinity“). This — the ‘Immanuel’ — is simply a name, and one that says only that in some way God was with mankind in Christ. What exactly that means in relation to Christ can only be worked out by clearer verses elsewhere.
But the main problem with the idea that the name itself means that Jesus is God, is that Jesus was only the second person to bear this prophetic title. The context of Isaiah makes clear that the first Immanuel was an infant in 732 BCE when Tiglath-Pileser sacked Damascus and Samaria, killing Ahaz’ two Northern enemies, Pekah and Rezin.
Isa.7:1 In the days of Ahaz the son of Jotham, son of Uzziah, king of Judah, Rezin the king of Syria and Pekah the son of Remaliah the king of Israel came up to Jerusalem to wage war against it, but could not yet mount an attack against it. 2 When the house of David was told, “Syria is in league with Ephraim,” the heart of Ahaz and the heart of his people shook as the trees of the forest shake before the wind.
Isa.7:18 In that day the Lord will whistle for the fly that is at the end of the streams of Egypt, and for the bee that is in the land of Assyria. 19 And they will all come and settle in the steep ravines, and in the clefts of the rocks, and on all the thornbushes, and on all the pastures. 10 Again the Lord spoke to Ahaz, 11 “Ask a sign of the Lord your God; let it be deep as Sheol or high as heaven.” 12 But Ahaz said, “I will not ask, and I will not put the Lord to the test.” 13 And he said, “Hear then, O house of David! Is it too little for you to weary men, that you weary my God also? 14 Therefore the Lord himself will give you a sign. Behold, the virgin shall conceive and bear a son, and shall call his name Immanuel. 15 He shall eat curds and honey when he knows how to refuse the evil and choose the good. 16 For before the boy knows how to refuse the evil and choose the good, the land whose two kings you dread will be deserted. 17 The Lord will bring upon you and upon your people and upon your father’s house such days as have not come since the day that Ephraim departed from Judah—the king of Assyria.”
Although it has been suggested that the original Immanuel was another son of Isaiah, that is impossible since the Hebrew word “maiden” (about which, more here) may mean virgin or newly-wed bride, but cannot mean a wife who has already born a child. So the only possible options are (A) a son of Ahaz, the recipient of the prophecy, (B) some unknown third child of a third mother who just happened to be passing when Isaiah made the prophecy – which makes little sense seeing as the child coming to a knowledge of good and evil is a sign of the nearing end of Rezin and Pekah. The prophecy only has value in Ahaz can keep the child near and watch the child grow.
In this context then the logical answer is that the child was Ahaz’ son Hezekiah, who name “Yah-is-my-Strength” is not so far from Immanuel, and who later turned out to show vividly to Israel God-with-us in the destruction of the Assyrian army by the angel (2 Kings 19:35; Isaiah 37:36)
See also answer: Why does Isaiah 9:6 call Jesus “Mighty God, Everlasting Father”? — another name which probably applies in the first application to Hezekiah, also Is Isaiah 9:6 “Wonderful counselor” related to Isaiah 7:14, 8:8 “Immanuel”?