The short answer
Gueliz and Hivernage have the most brunch spots: La Marlette and Azalai Urban Souk in Gueliz, Bloom House for vegetarian and vegan plates, and La Mamounia's poolside pavilion with its well-known Sunday brunch. In the medina, Café Clock does set breakfasts, and Foundouk Gargaa and La Terrasse de la Brillante serve daytime menus in restored settings.
In more detail
In Gueliz, La Marlette on Avenue Hassan II is a bakery and café-restaurant serving French-inspired breakfast, brunch and pastries from its own ovens. Azalai Urban Souk is a plant-filled café with seven set breakfast-style plates, among them a Sunrise in the Desert plate of msemmen, chocolate croissant, egg tagine, batbout and homemade jam. Bloom House runs an all-day vegetarian and vegan breakfast menu beside a yoga studio, and Blue Ribbon serves jben bagels and organic salads.
In Hivernage, La Mamounia's Pavillon de la Piscine, built as a tribute to the Menara pavilion, serves buffets from breakfast onward on a shaded poolside terrace and hosts the hotel's well-known Sunday Brunch. Cafe Extrablatt does all-day breakfast on a sunny corner terrace.
In the medina, Café Clock in the Kasbah is known for set breakfasts on two floors and a roof terrace. Foundouk Gargaa, a restored traditional inn beside the Koutoubia, combines a courtyard restaurant, coffee shop, boutique and gallery under a large shade tree. La Terrasse de la Brillante, near the Bahia Palace, is a hotel roof with views towards the Koutoubia and the Atlas.
For a more Moroccan late breakfast, go to a dawn counter for msemen and baghrir, or sit down at Bakchich Cafe off Jemaa el-Fnaa.