Another passage with an indirect reference to the shroud could be Acts 10:11:
Acts 10:11 (KJV)
And saw heaven opened, and a certain vessel descending unto him, as it had been a great sheet knit at the four corners, and let down to the earth:
Sheet is othonē (ὀθόνη) – G3607
It means a linen cloth.
And he saw the sky opened and something like a great sheet lowered by the four corners, descending to the earth.
And he beholdeth heaven opened, and, corning down, a kind of vessel, like a large linen cloth, by its four corners, being let down upon the earth,
and saw heaven open and something like a large linen sheet coming down, being lowered by its four corners to the ground.
As the heavenly realm opened up, he saw something resembling a large linen tablecloth that descended from above, being let down to the earth by its four corners.
Luke and John uses a similar word, othonion, in reference to the burial shroud.
othonion – G3608
https://www.blueletterbible.org/lexicon … jv/tr/0-1/
Then arose Peter, and ran unto the sepulchre; and stooping down, he beheld the linen clothes laid by themselves, and departed, wondering in himself at that which was come to pass.
Then took they the body of Jesus, and wound it in linen clothes with the spices, as the manner of the Jews is to bury.
So, the large linen cloth in Acts 10:11 fits the physical description of the burial shroud.
The most common interpretation of the vision is God is saying to preach to the Gentiles, who were classified as “common or unclean”.
But Peter said, Not so, Lord; for I have never eaten any thing that is common or unclean.
This is how Peter interpreted the vision.
And he said unto them, Ye know how that it is an unlawful thing for a man that is a Jew to keep company, or come unto one of another nation; but God hath shewed me that I should not call any man common or unclean.
Though this interpretation is correct, I think there could be additional meanings in the vision.
As I mentioned earlier, there were several factors influencing how they viewed the post-resurrection shroud. The post-resurrection shroud was considered unclean since it touched a dead body and was covered with blood. I’m sure Peter was wondering what to make of the shroud. Keep it buried? Hide it? Maybe burn it? With the vision Peter saw, God was revealing the shroud should not be considered unclean and can be used as an instrument to reach others, in particular the Gentiles.