Funny. Did the cross follow Christ to Heaven in the Ascension?
Why would you ask such a dumb question?
Joh 17:6 I have manifested thy name unto the men which thou gavest me out of the world: thine they were, and thou gavest them me; and they have kept thy word.
Notice the context. They had believed that the Father had sent Christ. (kept thy word). The idea that keep everything God said is preposterous. Jesus called Peter "SATAN".... Judas conspired to have Christ arrested. I could go on and on with references that prove that you're misapplying the words you read.
Look at what "word" they kept.
6 I have manifested thy name unto the men which thou gavest me out of the world: thine they were, and thou gavest them me; and they have kept thy word.
7 Now
they have known that all things whatsoever thou hast given me are of thee.
8 For
I have given unto them the words which thou gavest me; and they have received them, and have known surely that I came out from thee, and they have believed that thou didst send me.
9 I pray for them: I pray not for the world, but for them which thou hast given me; for they are thine.
10 And all mine are thine, and thine are mine; and I am glorified in them.
Jn 17:6–10.
Throughout the whole prayer of Jesus to His Father He makes distinction between "they/them" and the "world." Two opposing sets of people. Those that belong to God because He deemed them as such before God created heaven, earth, and man.
But by deeming them into the world/earth/planet/time they were no longer in the Mind of God and inserted into the world/earth/planet/time. By doing this when God blew His elect into the loins of Adam when He breathed into his nostrils God's elect people were sinful just as the first man was by virtue of being created from dirt.
Vs. 7: "whatsoever" sounds like the word "everything."
Vs. 8: referring to verse 6 "kept thy word" is answered by verse 8 "that I came out from thee."
The whole prayer of Jesus in chapter 17 Martin Luther called the "Holy of Holies" prayer and I agree. Jesus as High Priest is about to fulfill that part of the Law requiring a sacrifice as substitute for the lamb that was sacrificed in the Temple for the sins of the children of Israel. If Jesus fulfilled the Law and He is that substitute then His sacrifice is to atone for the sins of the children of Israel ONLY as was done under the Law.
Saul understood this:
4 But when the fulness of the time was come,
God sent forth his Son, made of a woman,
made under the law,
5
To redeem them that were under the law, that we might receive the adoption of sons. Gal 4:4–5.
Anyone who teaches that Christ died for non-Hebrew Gentiles is adding to the Bible and profaning the sacred work of Christ. Christ came "to redeem them that were under the Law" and that is what He did and His cry from the cross "It is finished!" ends that work as He bowed His head UPWARD and died.
Fifty days later on the Jewish Feast of Harvest the Holy Spirit of Promise (promised to Israel) comes down from heaven and APPLIES the salvation bought by the Son to the eleven elect of God identified as the eleven disciples who were in the upper room praying. Soon after as Peter addressed the crowd of Jews in the street the Holy Spirit was POURED OUT as prophesied by Joel upon three thousand Jews and they were born again and saved. Thus, the beginning of the New Covenant era is upon Israel (Jer. 31:31-34.)
God the Father deemed the elect and chosen people of God...
6 For thou art an holy people unto the LORD thy God:
the LORD thy God hath chosen thee to be a special people unto himself,
above all people that are upon the face of the earth. Deut. 7:6.
....and they were deemed (created) as sinful because only God is Holy and at the appointed time (Gal. 4:4-5) God sent His Son to RE-deem them from their sinfulness. All Israel is and shall be saved (meaning the seed of Jacob who was the seed of Isaac who was the seed of Abraham. Christ redeemed ONLY those that were under the Law and ONLY them.