In a small bowl, whisk together the Dijon, honey, soy sauce, garlic, salt, and pepper until smooth. Set aside.
Season salmon fillets with salt + pepper. In a nonstick skillet, heat oil over medium-high heat. Cook salmon fillets, skin side up, for 5 minutes.
Flip the filet and cook for another 4 minutes. Make sure to cook salmon until internal temperature reads 145 degrees F on a food thermometer.
On the last minute, brush the honey mustard mixture evenly over the salmon fillets. Serve salmon with arugula, rice, and/or any remaining honey mustard sauce. Enjoy!