On private property, including your own driveway or a job site you control, the City publishes no separate container permit. But Rowlett is unusual, and the honest answer is that placement is not the main question here.
The City's own solid waste ordinance makes the City, through its authorized contractors and franchisees, the sole provider of waste collection and hauling in Rowlett, and it names temporary roll-off open-top construction containers inside that sentence. The same ordinance makes it unlawful to engage in the business of collecting, removing, transporting or disposing of solid waste in the city without first obtaining a franchise, contract or permit from the City, and it requires businesses and commercial establishments to use the City's service and pay its fees. The City's own trash page states that its contractor holds exclusive rights for permitted temporary hauling. The City runs its bin and container service through that franchise.
There is one exception written into the ordinance, and it may well cover your job. The City excepts people providing services to residential customers, naming home alterations and renovations among them, and requires them to remove all the waste their service produces rather than leave it for City collection. Whether a container supplied to a homeowner for a renovation sits inside the sole-provider rule or inside that exception is a question for the City rather than something to assume, and the answer decides how your job is set up.
So the single most useful thing you can do in Rowlett is call before you book. Your account manager confirms how the City applies these rules to your specific project, what route is available, and what it means for timing, before anything is delivered. For the City's side of it, Public Works is at 4310 Industrial Street and can be reached on 972-463-3947, and the City's Action Center handles street questions on 972-412-6100.