Paul clearly says in 1 Timothy 4:

1 But the Spirit says expressly that in later times some will fall away from the faith, paying attention to seducing spirits and doctrines of demons, 2 through the hypocrisy of men who speak lies, branded in their own conscience as with a hot iron, 3 forbidding marriage and commanding to abstain from foods which God created to be received with thanksgiving by those who believe and know the truth. 4 For every creature of God is good, and nothing is to be rejected, if it is received with thanksgiving. 5 For it is sanctified through the word of God and prayer.

Some claim that Paul didn’t eat meat based on 1 Cor. 13:

Therefore if food causes my brother to stumble, I will eat no meat forever more, that I don’t cause my brother to stumble.

But Paul had been talking about eating food sacrificed to idols since verse 1. This is about eating the meat people had brought to the pagan temples to be sacrificed to idols.

Paul says in 1 Cor. 10:25, if it’s sold in the butcher shop, eat it:

25 Whatever is sold in the butcher shop, eat, asking no question for the sake of conscience, 26 for the earth is the Lord’s, and its fullness.” 27 But if one of those who don’t believe invites you to a meal, and you are inclined to go, eat whatever is set before you, asking no questions for the sake of conscience. 28 But if anyone says to you, “This was offered to idols,” don’t eat it for the sake of the one who told you, and for the sake of conscience. For “the earth is the Lord’s, with all its fullness.”

Then there’s Peter’s vision in Acts 10, telling Peter to eat animals that were considered unclean in the old covenant:

Now on the next day as they were on their journey, and got close to the city, Peter went up on the housetop to pray at about noon. 10 He became hungry and desired to eat, but while they were preparing, he fell into a trance11 He saw heaven opened and a certain container descending to him, like a great sheet let down by four corners on the earth, 12 in which were all kinds of four-footed animals of the earth, wild animals, reptiles, and birds of the sky13 A voice came to him, “Rise, Peter, kill and eat!”

14 But Peter said, “Not so, Lord; for I have never eaten anything that is common or unclean.”

15 A voice came to him again the second time, “What God has cleansed, you must not call unclean.” 16 This was done three times, and immediately the vessel was received up into heaven.