Pat scallops dry with paper towels; season lightly with salt and pepper.
Heat a large sauté pan or non-reactive skillet, over medium-high heat, and add oil.
After 30 seconds, add scallops; do not crowd pan; work in batches, if necessary.
Sauté until well browned; about 2 minutes; turn and cook other side.
When second side is dark golden, transfer scallops to a platter; cover and keep warm.
Return sauté pan to heat; add butter and cook until it begins to foam and turn golden.
Add shallot and capers; sauté for 1 minute; add lemon juice (being careful to avoid sputtering butter) and chopped parsley; remove from the heat.
To serve, place 3 scallops on each of 4 warmed plates.
Spoon butter, shallots and capers over scallops; serve immediately.