You can define the layout of the footnote with the following code added to the preamble:
\makeatletter
\renewcommand{\@makefntext}[1]{%
\setlength{\parindent}{0pt}%
\begin{list}{}{%
\setlength{\labelwidth}{1.5em}% <===================================
\setlength{\leftmargin}{\labelwidth}%
\setlength{\labelsep}{3pt}%
\setlength{\itemsep}{0pt}%
\setlength{\parsep}{0pt}%
\setlength{\topsep}{0pt}%
% \setlength{\rightmargin}{0.2\textwidth}%
\footnotesize}%
\item[\@makefnmark\hfil]#1%
\end{list}%
}
\makeatother
The command \setlength{\labelwidth}{1.5em} defines the length given to the foornote number you can change for your needs ...
The complete code
\RequirePackage{filecontents}
\begin{filecontents}{\jobname.bib}
@incollection{incollection,
author = {Peter Farindon},
title = {The title of the work},
booktitle = {The title of the book},
publisher = {The name of the publisher},
year = 1993,
pages ={10},
}
\end{filecontents}
\documentclass{article}
\usepackage[style=verbose]{biblatex}
\usepackage[ngerman]{babel}
\usepackage{csquotes}
\makeatletter
\renewcommand{\@makefntext}[1]{%
\setlength{\parindent}{0pt}%
\begin{list}{}{%
\setlength{\labelwidth}{1.5em}% <===================================
\setlength{\leftmargin}{\labelwidth}%
\setlength{\labelsep}{3pt}%
\setlength{\itemsep}{0pt}%
\setlength{\parsep}{0pt}%
\setlength{\topsep}{0pt}%
% \setlength{\rightmargin}{0.2\textwidth}%
\footnotesize}%
\item[\@makefnmark\hfil]#1%
\end{list}%
}
\makeatother
\addbibresource{\jobname.bib}
\begin{document}
Let's cite! \footcite{incollection}
\printbibliography
\end{document}
gives you the result:

If you do not want the second line indentend on the left change \setlength{\leftmargin}{\labelwidth} for example to \setlength{\leftmargin}{0pt} ...
Because you are writing in German please consider to use normal footnote numbers (have a look into the German Duden). To get that please add the line
\renewcommand{\@makefnmark}{\hbox{\normalfont\@thefnmark}}
after \makeatletter ...
Then you get with the complete code
\RequirePackage{filecontents}
\begin{filecontents}{\jobname.bib}
@incollection{incollection,
author = {Peter Farindon},
title = {The title of the work},
booktitle = {The title of the book},
publisher = {The name of the publisher},
year = 1993,
pages ={10},
}
\end{filecontents}
\documentclass{article}
\usepackage[style=verbose]{biblatex}
\usepackage[ngerman]{babel}
\usepackage{csquotes}
\makeatletter
\renewcommand{\@makefnmark}{\hbox{\normalfont\@thefnmark}} % <==========
\renewcommand{\@makefntext}[1]{%
\setlength{\parindent}{0pt}%
\begin{list}{}{%
\setlength{\labelwidth}{1.5em}% <===================================
\setlength{\leftmargin}{\labelwidth}%
\setlength{\labelsep}{3pt}%
\setlength{\itemsep}{0pt}%
\setlength{\parsep}{0pt}%
\setlength{\topsep}{0pt}%
% \setlength{\rightmargin}{0.2\textwidth}%
\footnotesize}%
\item[\@makefnmark\hfil]#1%
\end{list}%
}
\makeatother
\addbibresource{\jobname.bib}
\begin{document}
Let's cite! \footcite{incollection}
\printbibliography
\end{document}
the result
