There is no reference to the resurrection in John 3.
John 3 is about resurrection, not the Christian new birth.
Isa 26:19 Your dead shall live; their bodies shall rise. You who dwell in the dust, awake and sing for joy! For your dew is a dew of light, and the earth will give birth to the dead.
Also see Ezek 37:9-14; Dan 12:2
And Nicodemus was not asking about the resurrection. In fact, he did not start the conversation with a question but a statement. He was wanting to know who Jesus was?
Wanting to know who Jesus was would have been a question.
Jesus responded, "unless a man be born again, he cannot see the kingdom of God." The Jews, and the Pharisees in particular were waiting the coming of Messiah, who they assumed would be an earthly king who would restore Israel as an independent nation under the self-rule of a king. Israel, they considered to be the kingdom of God. Many today believe that same thing only they project it into what they consider the millennial reign of Jesus.
The Jews' assumptions were correct, but their timing was off. They did not understand the two comings of Christ. Even after Christ's resurrection the disciples still did not understand:
Acts 1:6 When they therefore were come together, they asked of him, saying, Lord, wilt thou at this time restore again the kingdom to Israel?
Jesus disabused him of this notion by making the statement about being born again, which was followed by the discussion on what being born again is. It is the work of the Spirit, the new heart, opened eyes and ears, to understand who Jesus is and what He has done in redemption. It is being reborn in Christ, whereas before we are born in Adam. It most certainly is talking about the Christian new birth.
It's not about the Christian new birth at all. The Pharisees, including Nicodemus, had adopted the Greek belief of the immortality of the soul (Cp the parable in Luke 16:19ff). Jesus was talking about the coming kingdom and the first resurrection, when dead OT believers and believers who died before the day of Pentecost will be resurrected into the kingdom. At that time, everyone thought it was coming soon (Matt 3:2; 4:17; 10:7; Mark 1:15). Christianity was still God's secret (mystery). Nobody knew about it yet. Jesus Christ himself thought it would be soon (Matt 16:28; Mark 9:1; Luke 9:27). It didn't come soon, and in fact it still hasn't come. God intervened with His secret, which was Christianity (Rom 16:25; 1 Cor 2:7-8; Eph 3:2ff; more), the details of which were revealed to Paul by revelation.