Heat vegetable oil in a medium skillet over medium-high heat. Season both sides with salt and pepper.
When oil is just about to smoke, add steak, cook 1 minute on each side.
Reduce heat to medium-low, add butter with fresh thyme and fresh rosemary and cook until internal temperature reaches 140 °C.
Remove the steak and let rest 5 minutes before slicing.
Cranberry sauce
Heat the same fried pan used for the steak, heat olive oil, add onions, garlic and ginger and cook during 5 minutes.
Add the star anise, bay leaves, cranberries jam, salt and pepper.
Add the brown sugar and vinegar and cook for another 5 minutes. Simmer over medium-low heat, stirring occasionally, until sauce has thickened and reduced slightly.
Remove from heat and add fresh basil and mint leaves (to keep basil and mint green).