#"Fe"# is in Period 4 of the Periodic Table.
Its electron configuration is #"[Ar]4s"^2"3d"^6#. It has eight valence electrons.
In order to obtain a #"[Kr]" #configuration, it can add up to ten more electrons.
In #"FeCl"_3#, the three #"Cl"# atoms contribute three more valence electrons to make a total of 11.
The #"Fe"# atom can easily accept more electrons from an electron-pair donor.
For example,
#"Cl"^"-" + "FeCl"_3 → "FeCl"_4^"-"#
Since #"FeCl"_3#can accept electrons, #"FeCl"_3# is a Lewis acid.