Had you done use strict and use warnings you'd have gotten helpful diagnostics about leaving off the $ from $i in the for loop. That aside, a more natural way of writing that (presuming you've left out whatever processing you're doing for each file) would have been:

for my $file ( @array ) {
  open( FILE, $file ) or die "Can't open '$file': $!\n";
  ## Do something with the contents of $file
  close( FILE );
}
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