looking to make for a zombie script AI,navmesh or not?

Hi i m looking to make a simple zombie script AI.
The enemy should follow “player” and when the distance of player and enemy is near, this attack changing the animation

To make a good zombie script i need a navmesh agent or not?
can you help me with a simple start code?

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here is a simple AI code that moves th character without using character controller or Navmesh


#pragma strict

var Attackdist:float = 5;
var Player:Transform;
var MoveAnim:AnimationClip;
var AttackAnim:AnimationClip;
var speed:float;
var damage:float = 5;
 var model:Transform;
private var _me:Transform;///this the character
private var tempspeed:float;
function Start(){
tempspeed = speed;
_me = transform;//cache for better performance
model.animation[MoveAnim.name].wrapMode = WrapMode.Loop;
model.animation[AttackAnim.name].wrapMode = WrapMode.Once;
function Update(){
_me.rotation = Quaternion.Slerp(_me.rotation,Quaternion.LookRotation(Player.position - _me.position),Time.deltaTime * 9);
_me.eulerAngles = Vector3(0,_me.eulerAngles.y,0);
var fwd:Vector3 = _me.TransformDirection(0,0,1);
transform.position += fwd*speed*Time.deltaTime;

if(Vector3.Distance(_me.position,Player.position) <=Attackdist){
speed = 0;
model.animation[AttackAnim.name].layer = -1;///add this if not it will not play move anim
speed = tempspeed; //initial speed
function Attack(){
//yield WaitForSeconds(0.5);//wait 0.5 seconds before playing anim
model.animation[AttackAnim.name].layer = 1;//add this if not it will not play attack animation