Can an odometer (magnet) be attached to an exercise bicycle crank arm (not the pedal)? Just received from Amazon, assembled, and successfully used the following: 
Folding Exercise Bike with 10-Level Adjustable Magnetic Resistance | Upright and Recumbent Foldable Stationary Bike is the Perfect Workout Bike for Home Use for Men, Women, and Seniors (Black)
I am a senior that wants to use the exercise bicycle indoors for moderate daily exercise.
I regard the purchased exercise bicycle as a good deal for the money.  However, its
wiring is bad, so I don't get any speed/distance readings.  Since I own a stop-watch,
all I need to compensate for the bad wiring is to install an external odometer (if possible).

Edit
The manufacturer subsequently came through, very nicely, shipping me a replacement.  There was simply a temporary communication delay.  Anyway, the responses to this article were great, re this is not an uncommon problem.

I emphasize that the odometer does not have to be accurate.  However, I do
need the odometer to be consistent from one day to the next.
As the following image shows, I do not have access to any spinning wheel on
the exercise bicycle.

Therefore, the only idea that I have is to (somehow) find a moderately priced
(under $50) odometer that I can attach to one of the pedals, and then have its
readout located near the top of the exercise bicycle, for my easy viewing.
My research has completely struck out re attaching an odometer to a pedal.  Is
this do-able?  If so, what type of odometer should I purchase?  If an odometer can not give consistent (not necessarily accurate) results when attached to a pedal, is there any other approach that I can take?
Edit 
As indicated by the responses, the do-able approach involves adding the odometer magnet to the crank arm rather than the pedal.
For your requirements this would work fine.   The speedo readout would not reflect a real-world value, but for comparing efforts on the same bike it would be ideal.
I'd suggest the lowest priced wired Cateye bike computer (velo9 or similar) because it lasts years on a battery.  I've had cheaper bike computers, and they can eat batteries in a few days.
For fitting, I'd try mounting the receiver end of the wire somewhere near the L of Landis on the housing, using double-sided sticky foam tape.  Secure the magnet on the inside of the crank, such that it won't get banged by your shoe.
Great work for finding a solution.