Short runs of flexible power cord?

Stiff powercords can be challenging.
I have propped them up, stuck them to the back of the rack with zip-ties...
My favorite prop up devices are butyl rubber bottle stoppers size 10 and size 7.
I use them under feet of equipment, and stack them up under too heavy cords to keep them from tilting out.

I've been dressing power cords since the day they got big.

Mapleshade has some very flexible power cords. They can custom make a short run as well.

I bought two 3' Audience PowerChords on Audiogon during the past year.

Power cords are simple to make and simple to resize. Unless yours has a sophisticated molded end you should be able to cut to size a re-terminate. In less than one meter I doubt you will hear any difference in any cable you buy as long as it meet the specs for current delivery and EMI/RFI rejection.

I choose to use a support as mentioned above by several others,(nylon tether).