Hi,
CG16330 give the meaning of 'market value' as 'The price which those assets might reasonably be expected to fetch on a sale in the open market.' HMRC does not specify how a property should be valued, when obtaining the 'market value'. Where you have disposed of a property and feel the need to have the valuation checked, you can request this by submitting form CG34
Post transaction valuation checks for Capital Gains (CG34)
SVM107090 advises 'Where, of course, a disposal is at arm’s length between unconnected parties, there is no need to substitute market value for the actual proceeds of sale'.
SVM107090 - Capital Gains Procedures: Market values
Please also have a look at:
Shares and assets valuations for tax
Thank you.