Jesus is looking for glory in the least likely place: the cross. The glory for which He is looking is that glory He had with the Father before the world began. This is a definite statement of pre- existence as found in (1:1, 8:58, 16:28). Jesus is God. Notice the similarities between this verse and (Php 2:5-11).

John 1:1  In the beginning was the Word, and the Word was with God, and the Word was God.

John 8:58  “I tell you the truth,” Jesus answered, “before Abraham was born, I am!”

John 16:28  I came from the Father and entered the world; now I am leaving the world and going back to the Father.”

Philippians 2:5-11  Your attitude should be the same as that of Christ Jesus:
  Who, being in very nature God, did not consider equality with God something to be grasped,  but made himself nothing, taking the very nature of a servant, being made in human likeness.  And being found in appearance as a man, he humbled himself and became obedient to death—even death on a cross!  Therefore God exalted him to the highest place and gave him the name that is above every name,  that at the name of Jesus every knee should bow, in heaven and on earth and under the earth,  and every tongue confess that Jesus Christ is Lord, to the glory of God the Father.

It is the Father who will glorify Jesus through the cross and what follows (Rom 6:4) and Jesus is asking the Father to do just that. The principle found here is the same as in (1 Sam 2:30). Is there any personal application to be found here?

Romans 6:4  We were therefore buried with him through baptism into death in order that, just as Christ was raised from the dead through the glory of the Father, we too may live a new life.

1 Samuel 2:30  “Therefore the LORD, the God of Israel, declares: ‘I promised that your house and your father’s house would minister before me for ever.’ But now the LORD declares: ‘Far be it from me! Those who honour me I will honour, but those who despise me will be disdained.