The phrase "given discretion" is correct and can be used in written English.
You can use the phrase to express the idea that a person or group has the authority to make a decision without being restricted to certain guidelines. For example: The Board of Directors was given discretion over the budget for the project.
These groups are given discretion over most of the tickets, meaning that the audiences are usually a politically charged bunch.
Under one option being examined by ministers – who were expecting the strong vote – judges would be given discretion to decide which prisoners could vote.
Finally, principals will apparently be given discretion to hire who they want, and they will be held accountable for the performance of their schools.
And low-level workers at state group homes are frequently given discretion to increase the medication "as needed," despite their lack of significant training.
I can tell you for a fact that the police on the scene are given discretion to use the amount of force reasonable and necessary and with a knowledge of the law, to get "the job" done.
Police would be given discretion to remove face masks from people on the street "under any circumstances where there is reasonable suspicion that they are related to criminal activity".
Alternatives to incarceration: Under Governor Paterson, reform of the Rockefeller drug laws gives discretion back to the judges.
They also note that the bill gives discretion to the Treasury Department to approve plans that otherwise do not pass muster.
But he committed his "crime" last February, when the previous code, which gave discretion to the government over bringing charges, was still in force.
Other states have a tougher "may issue" law, which gives discretion to withhold a permit to an authority like the local sheriff or department of public safety.
The change was to be introduced from April giving discretion to chief constables struggling to make 23% cuts in police funding over three years.
