Running with low iron/ferritin

No, definitely keep training. I would recommend cutting the mileage back a little and avoiding workouts, but you will feel better if you continue running. My ferritin was extremely low this past track season(it was 4) and I struggled to run anything faster than 7:30 pace at my worst. I dropped my mileage to around 40 or so from 65-70 and after 8 weeks I was running PRs again feeling stronger than I have ever felt.

What type of Iron and how much of it are you taking? It would also be a good idea to take it with vitamins B and C and to avoid dairy and other supplements for several hours before or after taking the iron.

I'm taking ferrous sulfate 200mg twice a day with a tiny amount of orange juice. Iron deficiency affects just 2% of the male population. But it does seem to be higher in distance runners.

^^

My iron levels dropped dramatically when I had to give up red meat due to a medical issue at which point I had to supplement. Since adding red meat back in I've had no issues and have stopped supplementing.

Once your iron levels have righted adjust your diet so you can maintain ideal Ferritin levels without supplementing.

Consuming lots of vitamin C during an iron rich meal, or when supplementing, will help optimize absorption.

Eat more red meat, preferably DAILY!