You're probably asking for problems if the eggs are only collected weekly. It could very well lead to broken eggs and/or egg-eaters. In winter, the eggs will freeze and crack, making a mess. In summer, the quality will be lower after sitting in a hot coop for several days.
Also, any number of issues could arise during the week, including predation, an empty waterer, a sick or injured hen, etc. Someone should be there at least every couple of days to keep an eye on things.
Some potential solutions:
1. Take some or all of the hens with you, and get rid of the rest.
2. Have someone tend the hens for you. If someone is renting the farmstead, flock maintenance could be a condition of rental.
3. If nobody will be moving into the farmstead, hire someone to come daily or every other day to care for the hens and collect eggs. This could get expensive, though.
4. Re-home the flock.
5. Butcher the flock and use them for meat.