Chill the bowl of your stand mixer in the refrigerator for 15 minutes.
Remove the can of chilled coconut cream from the refrigerator without shaking it, carefully scoop out the hardened coconut cream at the top of the can into the chilled mixing bowl, and reserve the remaining coconut liquid for another use.
Beat the chilled coconut cream on high speed until it holds soft peaks, about 45 seconds.
Beat in the sugar and vanilla until combined, add more sugar if desired, then refrigerate until use.