Is it impermissible or permissible to place a broken piece of glass upon which is written the name of Allah and names belonging to the family in a black plastic bag and put it behind clothes?

Placing a piece of paper with the name of Allah written on it behind or beneath clothes is not forbidden, as it is not considered apparent disrespect. However, it is preferable to avoid doing so out of reverence for the name of Allah. If the piece is broken and useless, it must be destroyed and the name of Allah removed from it to prevent its future exposure to disrespect.