When the first day of school rolls around, many parents are eager to have their children start school. However, there are a few parents are not willing to let their children go. This can be a fine thread to walk. You must handle the situation very lightly. A student in my 3rd grade class was in this exact situation. His parents were constantly calling in asking how he was doing and how his grades were? At what point do you just say "wait for the report cards."
This is a good suggestion, keep the parent happy by sending a note home at the end of the week.
This is the exact solution I would have suggested. Student's usually have planners and leaving little notes in them every week could help the parents while also saving you from the phone calls.
Compromise is important with dealing with parents.
Having an online record is a great suggestion.
From personal experience over protected parents can be extremley horrible for the children.