I've now added a feature which tries to match the colors with perler bead colors. There's a button under bead counts which toggles the color suggestions. As you can see, most are accurate but some are not, like it suggesting lavender instead of gray on this pattern. There will always be problems like that though because in order to choose the right color you need to use your own judgment. Hopefully this will be a good starting point though.

@Nina and anyone else who has asked a similar question: none of the patterns on this site are designed to match up with specific bead colors. The reason for that is that we have patterns for all different kinds of beads, and the pattern maker lets users select use ANY colors in their patterns, not just colors that exist as a bead. You are supposed to use the closest color you have or can find. In some cases you might need to combine two colors or replace a color.

However, since this is a common question and I understand that it is difficult for children to find matching colors, I am currently working on a feature that will suggest the closest color matches for certain fuse bead brands. The only problem is that I can't keep track of all fuse bead colors and I might not have access to color information for all brands (like generic store brands, e.g. Walmart).

Later on I might do something similar for pony beads. However I can't imagine doing it for all possible bead types/brands because some of them like Delica beads have too many different colors.