Looking at aerial views of the carpark/field, the only conceivable place an access could be created would be the roundabout that is the A27 westbound on/off access. That strikes me as most unlikely to be agreed by Highways unless some serious skullduggary goes on.
Or go for planning on some form of development - although I would imagine there would be access issues assuming the club owns the land between the access road and Bennetts Field.
It sounds like the owner (who is it I wonder?) is trying to play poker with Tony Bloom.