I think this Moroccan dish is actually known by the name of "Chicken Tagine with olives and pickled lemons". I've been doing a lot of thinking about whether to buy a tagine pot (it's a bit expensive!) in order to test this recipe. In the end, I decided it was impossible to have them all and it would be good if more specific recipes could be adapted to the classic kitchen utensils, the ones we all have at home. So yes, it can be cooked in a deep pan and I don't think it's worse than what I tasted at a Moroccan restaurant, I even think it's better.
As for the combination of flavors, I'm quite careful with the new tastes and I don't mix everything in despair. I prefer to taste elsewhere and, if I like it, I work on the recipe at home. So it happened with this chicken with olives and lemon. I tasted it in a Moroccan restaurant in Paris and I really liked it. Since then I've been doing tests on a similar recipe, but in the homemade version. It's extraordinarily good - the colorful and dense sauce, the wonderful flavors, the perfect olives and the lemon right where it should be.
At first, I stumbled because of the pickled lemons. I even waited a month for them to ripen but I threw them away - our lemons, even the organic ones, have a different taste and aroma. I don't know if it's worth the trouble, see in the steps my quick solution on how to make pickled lemons in 20 minutes! Even so, I recommend adding them carefully. I like to feel 1-2 pieces in food, but not too many. They release their taste and aroma in the sauce but eating them is another thing and depends on your preferences. My husband eats them with pleasure, for example.