I may need some assistance again as I'm trying to omit the title in my citations. The title must not be omitted in the bibliography.
Back in 2014 @moewe suggests to use \AtEveryCitekey{\clearfield{title}}.[1] That post was updated 2018. Unfortunately this doesn't work for me. The functions seem not to be obsolete regarding to the biblatex manual. Nevertheless, using the following code I get "Bock, Strafrecht Besonderer Teil." instead of just "Bock.".
\documentclass[]{scrreprt}
\usepackage[ngerman]{babel}
\usepackage[utf8]{inputenc}
\usepackage{csquotes}
\usepackage[backend=biber,%
autocite=footnote,%
bibstyle=ext-authortitle,%
citestyle=ext-authortitle,%
]{biblatex}
\begin{filecontents}{\jobname.bib}
@book{Bock.2018,
author = {Bock, Dennis},
year = {2018},
title = {Strafrecht Besonderer Teil},
address = {Berlin, Germany},
publisher = {{Springer Nature}},
isbn = {978-3-662-54790-8},
series = {Springer-Lehrbuch}
}
\end{filecontents}
\addbibresource{\jobname.bib}
\AtEveryCitekey{\clearfield{title}}
\begin{document}
Cite\autocite{Bock.2018}
\end{document}

ext-authortitle-tersedoes most of what you want: it will only print the title if there is more than one work by the same author. Perhaps this will suffice? It seems that otherwise you end up with ambiguous citations, which is presumably never what you want to have. – Alan Munn Nov 26 '20 at 19:46\AtEveryBibitem{\clearfield{title}}works as it removes the title from the bibliography but not from the citation. – disjunkt Nov 26 '20 at 20:26\AtEveryCitekey{\clearfield{title}}doesn't work in the example, because the citations don't print thetitlefield directly. Instead they print thelabeltitlefield, which is generated from severaltitle-like fields (shorttitleis given precedence overtitle). In the example the value of thetitlefield is copied over to thelabeltitlefield, so deleting thetitlefield after that has no effect. You can try\AtEveryCitekey{\clearfield{labeltitle}}for the effect you probably intended to achieve, but that leaves a comma dandling. Alan's answer is much better. – moewe Nov 27 '20 at 07:46