Peel and small dice potatoes; transfer to a medium bowl.
Trim, seed, and small dice bell peppers; add to the bowl with the potato.
Trim and cut celery crosswise into ¼-inch thick pieces; add to the bowl.
Peel and mince garlic; add to the bowl and set aside.
4 cloves garlic
Preheat a large pot over medium-high heat.
While the pot heats up, peel, halve, and thinly slice onion.
1 medium yellow onion
Once the pot is hot, add butter and swirl to coat the bottom. Add the onion and spices to the pot; cook, stirring often, until starting to soften, about 3 minutes.
2 tbsp butter, unsalted
1 tsp paprika
1 tsp salt
½ tsp black pepper
½ tsp thyme, dried
Add veggies, broth, edamame, corn, and sugar to the pot with the onion. Stir to combine the succotash and bring to a boil over high heat. Once boiling, reduce heat to medium and simmer, stirring occasionally, until veggies are tender, 8-10 minutes. (Reserve bowl for the next step.)
24 fl oz (3 cups) chicken or vegetable broth
2 cups edamame
1 cup frozen corn
1 tsp brown sugar
While the succotash is cooking, halve tomatoes and place in the reserved bowl.
Shave parsley leaves off the stems; discard stems and mince the leaves. Add to the bowl with the tomatoes and set aside.
Toast flatbread if desired (optional), then slice into wedges.
2 flatbreads or naan
When the succotash is done, add tomatoes, parsley, and cream to the pot; stir to combine and remove from heat.
4 fl oz (½ cup) heavy whipping cream
To serve, divide succotash between bowls and enjoy with warm flatbread on the side!