In a small bowl, whisk together oils, lime juice, and salt.
Place mushrooms in a zip-lock bag and pour the marinade over the mushrooms, stirring to coat. Let stand on the counter for 20-30 minutes to marinate.
When ready to cook the mushrooms, heat a large skillet over medium-high heat. Add mushrooms and marinade and cook, uncovered, 3-5 minutes, stirring only once to allow the mushrooms to develop a slight crispness.
Serve warm or room temperature with slices of baguette, if desired.