If you shut down a connected route, it will remove the route from the routing table for you.
I.E.
interface fastethernet0/0
ip address 192.168.0.1 255.255.255.0
With this entered into the config, your routing table will look something like this:
Codes: C - connected, S - static, I - IGRP, R - RIP, M - mobile, B - BGP
D - EIGRP, EX - EIGRP external, O - OSPF, IA - OSPF inter area
N1 - OSPF NSSA external type 1, N2 - OSPF NSSA external type 2
E1 - OSPF external type 1, E2 - OSPF external type 2, E - EGP
i - IS-IS, L1 - IS-IS level-1, L2 - IS-IS level-2, ia - IS-IS inter area
* - candidate default, U - per-user static route, o - ODR
P - periodic downloaded static route
C 192.168.0.0/24 is directly connected, FastEthernet0/0
To remove that 192.168.0.0/24 route, we can shutdown the interface.
interface fastethernet0/0
shutdown
Now if you do a "show ip route", you won't see the 192.168.0.0/24 route. If we want to make sure it doesn't come back if you turn that interface back on, do this:
interface fastethernet0/0
no ip address