The phrase "a new manner of" is correct and usable in written English.
It can be used when describing a different way or approach to doing something.
Example: "The company is adopting a new manner of conducting meetings to enhance productivity."
Alternatives: "a different way of" or "an alternative method of".
This has led to a new manner of reading Proust, against the grain.
"Still under the emotional shock," he said, "there was born a new manner of understanding the tactics of the team.
Jacopo's unusual interest in depicting country life, rural scenes and domestic animals eventually gave rise to a new manner of pastoral painting.
This novel intracellular site partially overlaps with the G protein and β-arrestin binding site, providing a new manner of pharmacological intervention.
Drawing inspiration from both early Christian and Carolingian manuscripts, he developed a new manner of painting, in which meticulously detailed, smoothly modeled figures are placed in elaborate and precisely calculated spatial settings.
The company, Mr. Garcia Wehbi said, considers "the peripheral" the best position from which "to understand art and the world" because, as with Kantor and Brecht, it makes possible a new manner of perceiving, an access to intimacy through distancing and disruption.
Stache collaborates with Fors and Coates to take two different polymer synthesis techniques, each favored by one of the researchers, and combine them in a new manner to create new types of polyketones, hard thermoplastics that are used in the automotive and aerospace industries.
These patents would apply to any new "manner" of "manufacture", with "manufacture" referring both to the creation of an object, and the design for that object.
Call it a coincidence, call it the beginning of a strange, new manner of existence: the N.F.L. playing its games while the United States was at war.
Finally, in his Russian Quartets, Opus 33, written, in his own words, "in a new manner," Haydn achieved the fusion of elements of both the learned and the treble-dominated styles.
The holistic archetypal configuration was beautifully integrated into a timely multilayered aesthetic uniting a personal narrative of grief over the loss of his partner to the universal experience of ego death as prerequisite for a paradigm leap into an entirely new manner of being.
