Ictidosuchoid is not a valid name for any living or extinct animal.
It is a term that was used by some paleontologists in the past to refer to a group of therapsids that were closely related to the ancestors of mammals.
However, this term is now obsolete and has been replaced by more precise classifications, such as Therocephalia, Cynodontia, and Mammaliaformes.
Therefore, there is no single answer to where the Ictidosuchoid lived, since it encompasses a diverse range of animals that lived in different times and places.
Some of the earliest therapsids, such as Biarmosuchus and Eotitanosuchus, lived in the Late Permian period, about 260 million years ago, in what is now Russia and South Africa.
Some of the most advanced therapsids, such as Bauria and Microgomphodon, lived in the Early and Middle Triassic period, about 250 million years ago, in what is now South Africa and Brazil.
Some of the mammal-like therapsids, such as Thrinaxodon and Probainognathus, lived in the Late Triassic and Early Jurassic period, about 220 million years ago, in what is now South Africa, Antarctica, and Argentina.
Some of the earliest mammals, such as Morganucodon and Megazostrodon, lived in the Late Jurassic and Early Cretaceous period, about 200 million years ago, in what is now China, Europe, and Africa.
As you can see, the Ictidosuchoid lived in various continents and climates, from the cold and dry Permian to the warm and humid Jurassic.
They adapted to different ecological niches, from carnivores and insectivores to herbivores and omnivores.
They evolved various features, such as hair, whiskers, and milk glands, that are characteristic of modern mammals.
They were among the most successful and diverse groups of vertebrates in the history of life on Earth.