The phrase "a quest to write" is correct and usable in written English.
It can be used when describing an endeavor or journey focused on the act of writing, whether it be for personal, artistic, or professional purposes.
Example: "She embarked on a quest to write her first novel, determined to share her story with the world."
Alternatives: "a journey to write" or "an endeavor to write".
The black comedy starts bleak and ends bleaker after alcoholism and infidelity sets CIA analyst Osbourne Cox George Clooneyy) off on a soul-searching quest to write a memoir.
The play, inspired by the life of the author Meyer Levin, is set in the early 1950s and tells the story of a man named Sid Silver and his quest to write a stage adaptation of "The Diary of Anne Frank".
Composing a prayer for divine help in the quest to write a divisive and discriminatory religious teaching into the civil constitution, then tying that prayer to the central act of unity in the Catholic tradition.
In my quest to write more efficiently, I was seeing if I could find a Windows alternative to it and saw this question on Quora: "Is there a good, minimalistic, markdown-enabled writing application for Windows?
Like him the drug barons, and the agents and investigators who help him on his quest to write about them, also straddle the border.
Crace is right to chastise the endless quest to write the definitive 9/11 novel, but his scorn at Everyman by Philip Roth ("[it] revolved entirely around the notion that getting old is a bit of a bummer") is shocking.
Writing became a quest to make sure some kind of record existed.
1. Joel Stein At Sixth And I Time columnist and sometimes VH1 talking head, Joel Stein's first book was written as a quest to pass on some more manly tasks to his newborn son.
My first impression: This book is an exquisitely written true story about a quest to see a wild saola -- an animal that inhabits the mountainous jungles that adorn the border between Laos and Vietnam.
This isn't a bad thing, necessarily — Tolkien himself stole the Ring of Power from the Nibelungenlied — and indeed, it's probably impossible to write a quest narrative these days that isn't a pastiche.
