There is not even a need to use declared variables in the for loops, Perl manages nested values of $_ fairly well:

  DB<1> $var_ref_array = [ [ 5349, 5350,    6205 ],[ 5355, 5356,    17
+77741, 1777742 ],[ 5699, 1792850, 1792851 ] ];

  DB<2> for (@$var_ref_array) { for (@$_) { print "$_ \t";} print "\n"
+};
5349    5350    6205
5355    5356    1777741         1777742
5699    1792850         1792851
[download]

Or even slightly simpler:

  DB<3> for (@$var_ref_array) { print "$_ \t" for @$_; print "\n";}
5349    5350    6205
5355    5356    1777741         1777742
5699    1792850         1792851
[download]

Having shown that, this is for fun, I should add this may not be not a coding style that I would necessarily recommend.