On private property, including your driveway or a fenced site, Merced requires no placement permit. The city's own collection rules are the thing worth understanding, and they split along what is in the container.
Merced reserves to the City and its contracted provider the exclusive right to gather and collect solid waste, and the code defines solid waste as food and kitchen waste plus a long list of ordinary household castoffs: cans, bottles, paper, rags, clothing, crockery, glass, ashes, cinders and metals. Construction and demolition material is nowhere in that list, and the exclusivity clause is written around the same defined term rather than a wider word. Read together, a container of building debris sits outside that exclusive right, while a container of ordinary household waste does not. We flag this as a legal reading rather than a settled answer and we tell customers to confirm it before a long booking.
Street placement is the firmer point. Merced's streets rules declare any structure or obstruction placed on a public street, curb, sidewalk or alley to be a nuisance that the city engineer is directed to abate, and the only encroachment permit in that title is written for restaurants. There is no instrument under which a container could be permitted in the right-of-way, so plan on private ground.
It is also worth knowing that the City's contracted service offers roll-off containers in 10, 20 and 30 cubic yard sizes under its adopted rate schedule, and that the cheaper scheduled rate is only available if the unit stays at least 90 days. Landfill charges are added on top of those fees rather than included. For short project work the arithmetic usually favors a straight rental.
For city questions, your account manager will get you the current number for the City of Merced and help you work out which rule applies to your load before anything is delivered.