Planning permission not usually required for a fence or wall not fronting a highway, providing it does not exceed 2m in height. If fronting a highway, the max height is 1m.
If the fence is out of sight and no neighbours are likely to object, you might consider gently exceeding the height. Local Planning Authority should be contacted in case of doubt; e.g. if you have a Listed Building or are not sure about anything. There are other govt sources for such information, referring to Permitted Development.