Closest solution to my question is proot but it doesn't work as intended. For example when I run it like

proot -w  ~/mychroot

and when I change to parent directory

cd .. 

and run

ls

it really changes to parent directory, it must have confined in ~/mychroot directory

Anyway I found a script in one of the forums and modified it to my needs. In original script it doesn't work with /usr/sbin/chroot I replaced it with fakechroot fakeroot chroot and added a few new lines.

#!/bin/bash



if [ $# -ne 1 ]; then

  echo "Usage: $0 <enter_name_of_your_chroot_directory>"

else

  #remove trail slash

  DESTINATION_PATH=$PWD/${1%/}

  mkdir -p $DESTINATION_PATH

  if [ ! -d "$DESTINATION_PATH" ]; then

    echo "Invalid destination path ${DESTINATION_PATH} it does not exists"

    exit

  fi

  

  if [ ! -d "${DESTINATION_PATH}/dev" ]; then

    echo "Create dir path ${DESTINATION_PATH}/dev"

    mkdir -p ${DESTINATION_PATH}"/"dev

  fi

  

  if ! grep -qs ${DESTINATION_PATH}"/"dev /proc/mounts; then

    mount --bind /dev ${DESTINATION_PATH}"/"dev

    if [ $? -eq 0 ]; then

      echo "Mount success ${DESTINATION_PATH}"/"dev"

    else

      echo "Something went wrong with the mount ${DESTINATION_PATH}"/"dev"

    fi

  fi

  

  if [ ! -d "${DESTINATION_PATH}/proc" ]; then

    echo "Create dir path ${DESTINATION_PATH}/proc"

    mkdir -p ${DESTINATION_PATH}"/"proc

  fi

  

  if ! grep -qs ${DESTINATION_PATH}"/"proc /proc/mounts; then

    mount --bind /proc ${DESTINATION_PATH}"/"proc

    if [ $? -eq 0 ]; then

      echo "Mount success ${DESTINATION_PATH}"/"proc"

    else

      echo "Something went wrong with the mount ${DESTINATION_PATH}"/"proc"

    fi

  fi

  

  if [ ! -d "${DESTINATION_PATH}/sys" ]; then

    echo "Create dir path ${DESTINATION_PATH}/sys"

    mkdir -p ${DESTINATION_PATH}"/"sys

  fi

  

  if ! grep -qs ${DESTINATION_PATH}"/"sys /proc/mounts; then

    mount --bind /sys ${DESTINATION_PATH}"/"sys

    if [ $? -eq 0 ]; then

      echo "Mount success ${DESTINATION_PATH}"/"sys"

    else

      echo "Something went wrong with the mount ${DESTINATION_PATH}"/"sys"

    fi

  fi

  

  if [ ! -d "${DESTINATION_PATH}/dev/pts" ]; then

    echo "Create dir path ${DESTINATION_PATH}/dev/pts"

    mkdir -p ${DESTINATION_PATH}"/"dev/pts

  fi

  

  if ! grep -qs ${DESTINATION_PATH}"/"dev/pts /proc/mounts; then

    mount --bind /dev/pts ${DESTINATION_PATH}"/"dev/pts

    if [ $? -eq 0 ]; then

      echo "Mount success ${DESTINATION_PATH}"/"dev/pts"

    else

      echo "Something went wrong with the mount ${DESTINATION_PATH}"/"dev/pts"

    fi

  fi

  

  if [ ! -d "${DESTINATION_PATH}/etc" ]; then

    echo "Create dir path ${DESTINATION_PATH}/etc"

    mkdir -p ${DESTINATION_PATH}"/"etc

    cp /etc/resolv.conf ${DESTINATION_PATH}"/"etc/resolv.conf

  fi

  

  for i in $( ldd /bin/bash | grep -v dynamic | cut -d " " -f 3 | sed 's/://' | sort | uniq )

  do

    cp --parents $i ${DESTINATION_PATH}

  done

  

  # ARCH amd64

  if [ -f /lib64/ld-linux-x86-64.so.2 ]; then

    cp --parents /lib64/ld-linux-x86-64.so.2 /${DESTINATION_PATH}

  fi

  

  # ARCH i386

  if [ -f  /lib/ld-linux.so.2 ]; then

    cp --parents /lib/ld-linux.so.2 /${DESTINATION_PATH}

  fi

  

  echo "Chroot jail is ready: ${DESTINATION_PATH}"

  

  if [ ! -d "${DESTINATION_PATH}/bin" ]; then

    echo "Create dir path ${DESTINATION_PATH}/bin"

    mkdir -p ${DESTINATION_PATH}"/"bin

    cp /bin/{cat,echo,rm,bash,sh,ls,mkdir} ${DESTINATION_PATH}"/bin/"

  fi

  

  fakechroot fakeroot chroot ${DESTINATION_PATH}

fi