Evaporators and sometimes condensers are the primary components of the freezer that has fans. These fans are automatic -- you do not have to turn your evaporator on and off for it to work properly. The evaporator helps release heat trapped by the refrigerant and acts as part of the cooling cycle. The fan turns on when the cycle occurs. You should not need to turn the fan on by yourself. If it is not working, then you have an issue with the cooling system.
Timers control how long a cooling system lasts. Because too much cooling can create issues with frost, timers also enter into a defrost mode where they reverse flow and warm the freezer compartment briefly to melt the frost. A timer that is stuck or malfunctioning will not start the cooling cycle. If the cooling cycle does not begin, your new fan will not work -- it never receives the signal that gives it current in the first place. Check your timer for malfunctions or errors.
Check the wiring on the new fan. Fan wiring is made from two or three wires that need to be connected to the correct sockets. If the fan refuses to run, the wires may have gotten switched around and need to be moved to the correct places. Older wires can also become corroded over time, preventing the current from completing a circuit. Replacing these wires can solve your problem if the wires are connected correctly but old and showing signs of rust at the terminals.
If a new fan is not working, check the motor. If you have replaced the fan but kept the motor, the blower motor that spins the fan could have burned out and may need to be replaced. Also check that there are no fitting issues or obstructions that keep the fan from turning properly. The evaporator fan blades should move easily; if they are stuck, you may need to buy another fan or find a way to unjam the blades.