Heat oil in a small saucepan over medium heat; add shallot, ginger and salt; saute until shallots are just softened, a few minutes.
Add sugar, water and vinegar; simmer until sugar dissolves; add cranberries and apples and return to simmer. Reduce heat to medium low and simmer until cranberries burst and mixture is thickened, about 10 minutes. Add crystallized ginger and simmer another 5 minutes.
Brie Appetizer
Using a large sharp knife, slice brie in half horizontally. Cut off rind on top of brie. Spread a thin layer of Cranberry Apple Chutney on top of bottom half of brie; place other half on top; spread another layer of Cranberry Apple Chutney on top. Sprinkle with toasted pecans.
Serve with apple slices and crackers.
Recipe Notes
Cranberry Apple Chutney adapted from Cook's Illustrated. Use a large wheel of Brie for a big party or a small, regular size wheel for a smaller gathering. You will have extra chutney leftover.