Many people quote Matthew and the other gospels unaware of a very significant issue—context. Jesus told the gentile woman that he was sent "only to the lost sheep of Israel" (Matt 15:24). Because of the exclusive covenant relationship between Israel and God, Jesus was obligated to minister to Israel, not the Gentiles. All of His teaching in the gospels is primarily for and about Israel. Only after rejecting Him were the Gentiles admitted into a relationship with God. If that is the case, and I believe it's key to understand the end times properly, then everything about Matthew 24 applies to Israel, who will be going through the tribulation period. The term 'Elect' always refers to Israel. The Gentiles are 'the invited.' For a more detailed explanation, search for 'Of Covenants and Favour'.
This is absolutely false. Jesus did make mention of the Gentiles, but just not explicitly.
John 10:15 As the Father knoweth me, even so know I the Father: and I lay down my life for the sheep. 16
And other sheep I have, which are not of this fold: them also I must bring, and they shall hear my voice; and there shall be one fold, and one shepherd.
In the NT the elect refer to those who belong to Christ.
Romans 8:31 What shall we then say to these things? If God be for us, who can be against us? 32 He that spared not his own Son, but delivered him up for us all, how shall he not with him also freely give us all things? 33
Who shall lay any thing to the charge of God's elect? It is God that justifieth.
The above passage is Paul talking to both Jew and Gentile believers collectively as "the elect".
Here is Paul writing "To the saints and faithful brethren in Christ which are at Colosse" (Col 1:2):
Colossians 3:12 Put on therefore, as
the elect of God, holy and beloved, bowels of mercies, kindness, humbleness of mind, meekness, longsuffering;
Here is Paul writing to the church of the Thessalonians:
1 Thessalonians 1:1 Paul, and Silvanus, and Timotheus,
unto the church of the Thessalonians which is in God the Father and in the Lord Jesus Christ: Grace be unto you, and peace, from God our Father, and the Lord Jesus Christ. 2 We give thanks to God always for you all, making mention of you in our prayers; 3 Remembering without ceasing your work of faith, and labour of love, and patience of hope in our Lord Jesus Christ, in the sight of God and our Father; 4
Knowing, brethren beloved, your election of God.
Jesus knew that the elect included Gentiles before that was ever explicitly revealed, so there is no basis for thinking that the elect in Matthew 24 only includes Jews.