Cut the root ends from the fennel bulbs and discard them. Separate the stalks from the bulbs by cutting about 1 inch above the bulb. Chop the fennel stalks, then quarter the fennel bulbs, and further cut each quarter piece in half.
Cut open the peaches in the center and around the pit. Open the fruits to expose them. Take the pit out and discard it. Slice the peaches further into thin wedges.
In a large sauté pan with a lid, melt the butter over medium-high heat.
Add all the fennel pieces. Cook the fennel for 3 minutes on both sides or until the vegetable is translucent and slightly browned.
Season with a few pinches of salt and a few pinches of Monk fruit sweetener if used.
Lower heat to medium. Add the peach wedges—arrange them in between the fennel pieces.
Cook and stir for 3 minutes to soften the peaches.
Then stir in the syrup or sweetener of choice.
Pour over the liquid, and season with salt, black pepper, vegetable broth seasoning, and cardamom.
Stir in the almond meal or flour—if preferred use chopped almonds.
Cover the pan and let the liquid come to a gentle simmer.
Then reduce the heat to low and further simmer for 20 to 25 minutes. Stir occasionally.
The fennel and the flesh of the peaches should be soft— some peaches might have almost broken down.