How do I manage pets on a newly seeded lawn?

I am going to be putting some lawn patch repair on the bare parts of my fenced in backyard (mulch/fertilizer/seed) and also some turf builder on the rest of the lawn. When can I let the pets go back in their yard? Would it be best to supervise them when they are in the yard? The packages say it is safe for pets, but I am not sure it is safe for the grass for them to be on it. Any other suggestions would be appreciated on how I can avoid having a big muddy mess this spring since the winter/pets have turned the backyard into a big mess.

 

Good question indeed!
The only thing I can think of is to buy some netting of some kind from a DIY store. Fix a few posts at the perimiter iof the area and a couple in the middle then tie the netting on and fix it into the ground with tent pegs or similar

Netting or chickenwire