The phrase "a manner that allowed" is correct and usable in written English.
It can be used to describe a way of doing something that enables or permits a certain outcome or action.
Example: "She approached the problem in a manner that allowed for creative solutions to emerge."
Alternatives: "a way that enabled" or "a method that permitted".
So, to protect the songwriters, Congress rewrote the law, but in a manner that allowed the player piano, a new technology, to continue to flourish.
Apple, for instance, was among the first tech companies to designate overseas salespeople in high-tax countries in a manner that allowed them to sell on behalf of low-tax subsidiaries on other continents, sidestepping income taxes, according to former executives.
Efforts were made to review the studies in a manner that allowed comparison of treatment success as well as the subsequent stability.
They played in a manner that allowed Mackay to point up the wisdom of his summer scouting and recruitment strategy as these three points moved Cardiff up to 12th in the Premier League.
Bridge pair selection was performed in a manner that allowed pairwise comparison of the two types of decks (holding age, traffic, and design/construction characteristics fairly constant), as well as identification of the potential influence of the factors such as superstructure characteristics, traffic, and age on cracking using statistical analysis.
While the 75 m2 search area was much larger than that typically used in visual search studies, it was still a regular rectangle and defined in a manner that allowed planning (i.e. could be seen as one and defined by cones).
Thus, physical activity must be conducted in a manner that allows maximum benefits at the lowest possible risk.
Cancer cells are normal body cells that have been altered in a manner that allows them to divide relentlessly, ignoring normal signals of restraint.
"But I always try to find my way toward, and into, a life in a manner that allows me to think those decisions make themselves".
