Jesus Himself clarifies what this drawing means. Jesus is speaking to a crowd of Israelites who are tracking Him down for superficial reasons. Because Jesus knew their true, insincere motives, the Father was not entrusting or "drawing" them to the Son.

And He was saying, 'For this reason I have said to you, that no one can come to Me unless it has been granted him from the Father.'

For what reason? The Father "draws" by means of teaching and revelation. The "giving" of individuals to the Son (John 6:37) is a present-tense action based on whether they have submitted to the Father's prior revelation. Those who faithfully listened to the Law and the Prophets—like Simeon, Cornelius, or Lydia—were "drawn" and "given" to the Son because they already shared the Father’s heart.

The "reason" some are not granted the ability to come to Christ is not a divine withholding of desire, but their own stubborn refusal to listen to the Father’s prior teaching. As Jesus says in John 12:32, once He is lifted up, He will draw all people to Himself through the Gospel. As Jesus points out repeatedly in John's gospel, if they had truly believed Moses and listened to the Father, they would believe in Jesus, because the Father and Son speak with the exact same voice. The explicit "reason" they are not granted the ability to come to Christ is their own stubborn unbelief and refusal to listen to God's prior teachings.

James White has admitted that the primary means of God's drawing is His teaching.

This is a well-known example of a famous quote.

“A text without a context is a pretext for a prooftext.”
D. A. Carson

If someone already assumes that humans are totally unable to respond to God, then they will naturally read John 6:44 to mean this:

“Draws” = God irresistibly changes the heart of a pre-selected person.

The verse gets mentally rewritten like this:

John (reworded)
“No one can come to Me unless the Father irresistibly changes his heart; and I will raise him up on the last day.”

But the question is simple: does Jesus actually teach it that way?
To answer that, we have to read more than one sentence.

Some Context:

• 6:1–14 — Jesus feeds the 5,000.
• 6:15–25 — The crowd wants to make Him king. Jesus leaves and walks on water across the lake. They chase Him the next day
• 6:22–40 — Jesus tells this same crowd that the Father gives the true bread from heaven to them, and that this bread gives life to the world, just as manna did in the wilderness. He is speaking to unbelievers—people a Calvinist would call non-elect—yet He still says the bread of life is given to them (26) He says the will of the Father is that everyone who looks to the Son and believes will have eternal life. When they ask for this bread, Jesus explains that coming to Him and believing in Him are the same thing. He also states plainly that He will die and be raised up.

The crowd hears all this, has seen the miracles, yet still does not believe (v.36). They want more signs, not truth. Because this crowd has become hard and stubborn despite the truth they have already seen, Jesus begins using hard, symbolic language (eating His flesh and drinking His blood). This is meant to intentionally drive the insincere crowds away.

So back to our verse, what did Jesus mean by draw. Well In the very next verse, Jesus explains what He means by “drawing” by quoting the prophets:

“They will all be taught by God. Everyone who has heard and learned from the Father comes to Me.”

God starts the process by teaching, but the person must listen and learn. Many people hear God’s teaching and are drawn, but they refuse to respond—like the Pharisees, who Jesus says closed their own eyes to the light they were given. So when Jesus says the Father “gives” people to the Son (v.37), He is not talking about random selection. He is talking about those who were already faithful to the light God had given them through Moses and the prophets. Jesus rebukes his audience because they claim to follow God but refuse to believe the one God sent . If they had truly "heard and learned" from the Father, they would have recognized the Son because they have the same "voice"

We see this later on in John as well. Jesus says that when He is lifted up on the cross, He will "draw all men" to Himself (John 12:32). If drawing were an irresistible, effective force that always resulted in salvation, this would necessitate universalism. J esus consistently teaches that a person must come to Him and believe to receive life. Faith is the condition for life—not the result of already being made alive