You can use xargs or GNU parallel:
echo /path/to/Files/F{1..20} | tr ' ' '\n' |
xargs -lL conv.sh
or:
echo /path/to/Files/F{1..20} | tr ' ' '\n' |
parallel conv.sh
Edit - handle space sensibly
As noted by Ole, none of the above methods handle space properly, i.e. dir name would be considered as two separate arguments, the same problem occurs if the directory name contains newlines.
The best way to handle these issues is to use null as delimiter, e.g. with GNU find:
find /path/to/Files -mindepth 1 -maxdepth 1 -type d -regex '.*/F[0-9]*' -print0 |
parallel -0 conv.sh