Will your zip and link mattresses be ok on our slat based bed ?

We have a king size metal bedframe with two sets of sprung beech slats on either side of a central bar. Will your zip and link mattresses work well on this? I notice that you show them only on divan bases.
I weigh just under 7 stone (5' 1'') and my husband weighs around 12 stone (6'2''); will your softest pocket sprung zip and link mattresses be the best option, so as to be comfortable and minimise the amount we disturb each other by moving?