According to the Current-Carrying Capacity of Cables in the IEE Regs Appx F.
6mm2 twin and earth can carry up to 34a enclosed in conduit in thermally insullating wall, etc.
So long as the MCB/Fuse is rated at 34a or lower (more than likely it's going to be a 32a), then it would suffice for the load.
Consideration should also be given to:
Thermal effects (anything above ambient temperature of 30 degrees C will require a bigger cable)
Zs values
RCD protection (a 32a RCBO would do the job)
Volt drop
I think the point is other than flex which can't be covered electric cable does not have a fixed current rating but a series according to how it is installed.
6 mm² thermoplastic insulated and sheathed flat cable can have a current rating without correcting of between 23.5 to 47 amp. Use thermal setting cable and it can be even higher. So it's all down to the installation method or in plain English the route taken by the cable.
However in the main we look at Reference Method 100# (above a plasterboard ceiling covered by thermal insulation not exceeding 100 mm in thickness) and Reference Method 102# (in a stud wall with thermal insulation with cable touching the inner wall surface) this allows 34/35 amp with a 6 mm² cable so likely 6 mm² will be OK.
If we take the OP's question in to consideration.
The maximum rating of this cable would be 47A.
This rating only applies if the cables was clipped direct, not protected by a rewireble fuse, the ambient temperature is ideally 30 degrees C and the distance the cable is run, allows for the permitted volt drop.
If not then correction factors are required to be made, so that maximum is then reduced, sometimes quite substantially.
In short the answer would be yes, with the provision that the cable was installed in a way, that would not reduce the cables safe current capacity below 32A.
Then the other consideration would be the diversity calculation that can be applied to the maximum demand of your oven.
Do the manufactures instructions, state that a 32A protective device is installed?
If the cable is already installed then it should be already protected with the correct size MCB/RCBO/Fuse. If not already installed then it would need notifying and the Electrician or LABC will ensure that it all complies before they issue the compliance or completion certificate.
That is of course assuming it is all done correctly in the first place. The maximum current for Twin & Earth LSZH Cable is 58 Amps clipped direct however it is unlikely that it will be LSZH cable more likely PVC in which case 47A is Max as "PrenticeBoyofDerry" states but it is up to the person doing the work to work out what can or can't be done so I have linked to Manufacturers data so you can look it up for yourself.
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