"indispensable quality" is correct and usable in written English.
You can use it to describe something that is essential and absolutely necessary. For example: "Having patience is an indispensable quality for any successful businessperson."
It is an indispensable quality in a President to know a good thing when he sees it.
Picasso also said that, without reference to things we experience as real, art sacrifices its one indispensable quality: drama.
Having a vision, it appears, is a necessary price of entry for this contest, the one indispensable quality any serious candidate must lay claim to.
But Mr. Beame had dignity, patience, a resilient self-confidence and that indispensable quality of all real politicians -- a memory that never forgot a favor or an insult.
And then there's that politically indispensable quality she so admired in Mr. Cianci and Mr. Koch and admires in Mayor Michael R. Bloomberg: the vision thing.
But, he said, "it had lost some of that indispensable quality" it had when first conceived by former ABC News president, Roone Arledge.
"Even if he doesn't become a grandmaster, chess will teach him to think logically and improvise, as those are indispensable qualities in life," he said.
They have shown themselves to be nimble and pioneering at advancing climate measures – and those may prove to be indispensable qualities in the fight against climate change.
Due to its huge practical importance in fluid dynamics, various models have been developed to capture both the indispensable physical quality and the mathematical structure of turbulent fluid flow.
Good parenting skills are "indispensable to quality education," insisted Andy Ligeti, a Glendale Community College history professor and former high school teacher.
For practical purposes, perception of primary care attributes accounts for appropriate use of resources, and patient outcomes are indispensable for quality care.
