There is no generic loop structure that just skips the first element. You can however use loop control like next to skip undesirable elements:

my $skip = 0;
for my $i (0 .. $#array) {
    next if $i == $skip;
    #process
}
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You can also you array slices in order to feed restricted sections of your array to a foreach loop:

for (@array[1 .. $#array]) {
    #process
}
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or if you have no need for the loop itself, you can use the slice with a direct assignment:

my @new_array = @array[1 .. $#array]; or if you meant skipping $array[1]

my @new_array = @array[0, 2 .. $#array];

You can do more advanced list preprocessing with map and grep. After all, TIMTOWTDI.