ParentId on CaseFeed is not writable.
If you look at the CaseFeed attributes, you can find that it is queryable: true but not createable: false, updateable: false etc.
Attributes are:
activateable: false
compactLayoutable: false
createable: false
custom: false
customSetting: false
deletable: true
deprecatedAndHidden: false
feedEnabled: false
hasSubtypes: false
idEnabled: true
isSubtype: false
keyPrefix:
label: Case Feed
labelPlural: Case Feed
layoutable: false
mergeable: false
mruEnabled: false
name: CaseFeed
networkScopeFieldName:
queryable: true
replicateable: true
retrieveable: true
searchable: false
undeletable: false
updateable: false