What does it mean to appeal to God on the basis of his nature or pleasure

[Michael Scaman]

I see in Psalm 51, it starts with appeals to mercy and bases it on God's character
particularly on the word hesed, God;s loyal lovingkindness. In this case not on God's justice The Psalm moves to asking for a new heart, a new nature as he was born in sin. Last, the psalm ends to even appeal to the pleasures of God, since God would be pleased with such a result

Is this a way we should pray and what aspects? In particular the pleasures of God?

Psalm 51 - a broken heart, a new heart and the pleasures of God