The '&' control operator might be what you are looking for.

Excerpt from `man 1 bash`:
SHELL GRAMMAR
   Lists
       If  a  command  is terminated by the control operator &, the shell exe‐
       cutes the command in the background in a subshell.  The shell does  not
       wait  for  the command to finish ...

try:
(<command> | parallel <command> | parallel <command> >> file) &


If you work on a remote machine execute in a `screen` session.
`nohup <script> &` is another solution to disconnects.

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