How shoepidit are these? Running shoes with no heels?
There are a number of brands of heel less running shoes or floating heel running shoes on the market. The whole idea is that they encourage you to run on the forefoot rather than heel strike. That is based on the misguided belief that forefoot running is better for you than heel strike running. The evidence is that this is not the case. The injury rate between forefoot and heel strike running is about the same, so it makes no difference.
Give the heel less running shoes a miss.