You can use `find` with the `-execdir` argument instead of `-exec`.
`-execdir` will run the command in the directory it has found the files in, instead of your current working directory
Example:
`find . -name '*.zip' -execdir unzip {} \;`
While this is not exactly what you've asked for, you could add a few steps to get to the desired result:
mkdir new
cp -a backUP/* new/
#run unzip operation
cd new
find . -name '*.zip' -execdir unzip {} \;
#remove all .zip files
find . -name '*.zip' -exec rm {} \;