Concatenating multiple fastq files and renaming to parent folder - bash

Question

Currently, I have genome sequencing data as fq.gz files and each sample consists of a folder titled with the sample name containing 2-8 pairs of forward and reverse reads. I would like to concatenate all of the forward and reverse files into one forward and one reverse file for each sample while maintaining pair order.
My data are organized as follows:
/ParentFolder/SampleA/V549_1.fq.gz
/ParentFolder/SampleA/V549_2.fq.gz
/ParentFolder/SampleA/V550_1.fq.gz
/ParentFolder/SampleA/V550_2.fq.gz
/ParentFolder/SampleB/V588_1.fq.gz
/ParentFolder/SampleB/V588_2.fq.gz
/ParentFolder/SampleB/V599_1.fq.gz
/ParentFolder/SampleB/V599_2.fq.gz
In order to concatenate the files, I tried the following:
ls *_1.fq.gz | sort | xargs cat > SampleA_1.fq.gz
ls *_2.fq.gz | sort | xargs cat > SampleA_2.fq.gz
This works for one sample folder, however, since I have many dozens of samples, I would like to write a bash script to accomplish this across all my samples and rename the concatenated files to name of their parent folder. I am still learning but I am a bit lost, I would greatly appreciate any help with this problem.
I have attempted the following, without success:
for i in $(find ./ -type f -name "*.fq.gz"; done | sort | uniq)
do echo "Merging 1"
cat "$i"*_1.fq.gz > "$i"CG1-1_1.fq.gz
Thank you for any input/advice/solutions.

Answer 1

Consider the following logic:
for each suffix (_1, _2):
Find all the fq.gz files
Extract list of folders
For each folder
Merge all the containing 'fq' files into new 'all.FOLDER.fq.gz'
p=pp
for suffix in 1 2 ; do
# Find all dirs containing suffix files.
dirs=$(printf '%s\n' $p/*/*_$suffix.fq.gz | sed 's:/[^/]*$::' | uniq)
for d in $dirs ; do
# Merge, and store in parent.
(cd $d ; cat *_${suffix}.fq.gz > ../${d##*/}_${suffix}.fq.gz)
done
done
Notes:
code assume no special characters in folder names.
More compact files will be created if the merge process will uncompressed the original data, and re-compress. (gzcat *.gz