Peel and chop the yellow potatoes into small, uniform chunks.
Place potatoes in a pot of salted water and bring to a boil, cooking for 12-15 minutes until fork-tender.
While potatoes cook, trim the ends of the green beans and place them in a steamer basket over simmering water.
Steam the green beans for 5-7 minutes until they are vibrant and crisp-tender.
Pat the salmon fillet dry with a paper towel and season both sides with a pinch of sea salt and black pepper.
Heat the olive oil in a non-stick skillet over medium-high heat.
Place salmon in the pan skin-side up and sear for 4 minutes until a golden crust forms, then flip and cook for another 3-4 minutes.
Drain the cooked potatoes and return them to the pot, adding the minced garlic and a tablespoon of the potato cooking water.
Mash the potatoes until smooth and creamy, seasoning with extra pepper if desired.
Plate the seared salmon alongside the garlic mash and steamed green beans, serving immediately.