Melt the butter in a large skillet over medium heat.: You should hear a gentle sizzle as the butter settles into the pan and see it foam and then calm, giving off a warm, nutty aroma. This stage builds the flavor base and ensures the onion will cook evenly. If the butter browns too quickly, lower the heat to avoid a bitter note. One common mistake is cranking the heat which scorches the fat and ruins the delicate flavors, so be patient as the pan warms.
Add the onion to the skillet and cook for 5 minutes until the onion is soft and translucent. Stir in the garlic and cook for another 30 seconds until aromatic.: As the onion softens, you will notice it turning glossy and losing its raw edge, releasing a sweet, mellow scent. After stirring in the minced garlic , lean in and catch the fragrant lift that comes almost instantly. Keep the heat moderate because garlic can burn in a blink, becoming acrid instead of fragrant. If the edges of the onion begin to brown too fast, reduce the heat and stir more frequently to promote even caramelization.
Add the frozen peas and chicken broth. Season with salt and pepper and stir. Cook for 5 to 10 minutes or until most of the liquid has cooked off.: When the frozen peas hit the warm pan you will hear a soft hiss as they release chilled steam and begin to warm. The splash of broth adds a savory layer and creates a gentle simmer that helps the peas cook through without becoming waterlogged. Stirring until the liquid is incorporated ensures every pea picks up flavor. A common slip here is adding too much liquid; use the stated amount so the dish finishes with a glossy reduction rather than soupy.
Garnish with lots of fresh dill. Serve with fresh lemon wedges, if preferred.: During this phase, watch for the broth to reduce into a silky glaze that clings to the peas . You want the peas to be tender but still hold their shape, and the sound of a light simmer will shift to occasional gentle bubbling as the liquid evaporates. Taste for texture; if the peas feel mealy, they are overcooked. Stir intermittently to prevent sticking, and if the pan dries out too quickly, add a splash more broth sparingly.
Garnish with lots of fresh dill.: Finish with the chopped dill sprinkled over the hot peas , and watch the herb release an immediate, bright aroma. This final herbaceous note contrasts the warm, buttery base and lifts each bite. If you add the dill too early it will lose vibrancy, so save it for right before serving. One tip is to taste and adjust salt and pepper after the herb goes in, because fresh dill can subtly alter the perception of seasoning.
Serve with fresh lemon wedges, if preferred.: A squeeze of lemon brightens the whole dish and accentuates the sweetness of the peas . If you choose to use lemon, add it sparingly and taste as you go to avoid overwhelming the herbs. A mistake some make is squeezing too much citrus which can dominate the delicate balance, so add gradually and test for harmony.