How to change the citation style for one citation

Question

for my bachelor thesis I want to improve my work with a citation in the beginning. How could I do this to make it look like this

Thanks in advance!

EDIT 1 : MWE

Okay this is a MWE which hopefully helps to answear the question. The MWE reference should be look like the one in the image.

\documentclass[12pt,a4paper,onecolumn,oneside,draft=on]{article}
\usepackage[left=4cm,right=2cm,top=2cm,bottom=2cm]{geometry}
\usepackage[onehalfspacing]{setspace}
\usepackage[english,ngerman]{babel}
\usepackage[T1]{fontenc}
\usepackage[ansinew]{inputenc}
\usepackage{titlesec}
\usepackage[nottoc]{tocbibind}
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage{float}
\usepackage[backend=biber,bibencoding=utf8,natbib=true,style=apa]{biblatex}
\addbibresource{Reftester.bib} 
\usepackage{subcaption}
\usepackage{pdfpages} 

\newtheorem{theorem}{Theorem}
\newtheorem{acknowledgement}[theorem]{Acknowledgement}
\newtheorem{algorithm}[theorem]{Algorithm}
\newtheorem{case}[theorem]{Case}
\newtheorem{claim}[theorem]{Claim}
\newtheorem{conclusion}[theorem]{Conclusion}
\newtheorem{condition}[theorem]{Condition}
\newtheorem{conjecture}[theorem]{Conjecture}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{criterion}[theorem]{Criterion}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{exercise}[theorem]{Exercise}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{problem}[theorem]{Problem}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{remark}[theorem]{Remark}
\newtheorem{solution}[theorem]{Solution}
\newtheorem{summary}[theorem]{Summary}
\newenvironment{proof}[1][Proof]{\noindent\textbf{#1.} }{\ \rule{0.5em}    {0.5em}}
\makeatletter
\def\@biblabel#1{\hspace*{-\labelsep}}
\makeatother
\makeatletter
\renewcommand{\@cite}[1]{#1}
\makeatother
\setlength{\parindent}{0 cm}
\setlength{\parskip}{6 pt}
\setcounter{tocdepth}{100}
\begin{document}
"This is a famous reference and should be higlighted as in the picture of this post."  \citet{Mokyr1999}

\printbibliography[ title={7 References}]

\end{document}

EDIT 2 : Bibtex Entry for MWE

@InBook{Mokyr1999,
chapter   = {The New Economic History and the Industrial Revolution.},
pages     = {1--127},
title     = {The British Industrial Revolution: An Economic Perspective},
publisher = {Boulder: Westview.},
year      = {1999},
author    = {Mokyr, Joel},
editor    = {Mokyr, Joel},
edition   = {2nd. ed.},
}

Answer 1

This answer only focusses on the citation aspect of the desired output. For nice formatting of the quotation itself, have a look at "Inspirational" quote at start of chapter and the many linked questions.

It is not entirely clear to me what citations of entry types other than @inbook should look like here. I extrapolated, but this will need adjustments.

We simply define a new citation command called \fancyquotecite that you can use instead of the usual \cite, \textcite, etc. \fancyquotecite is fuelled by the bibliography macro fancyquotecite and prints the labelname (the primary name associated with the work/entry, usually the author or editor) and the titles.

\documentclass[12pt,a4paper,onecolumn,oneside]{article}
\usepackage[english,ngerman]{babel}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{csquotes}

\usepackage[backend=biber, style=apa]{biblatex}

\DeclareCiteCommand{\fancyquotecite}
  {\usebibmacro{prenote}}
  {\usebibmacro{citeindex}%
   \usebibmacro{fancyquotecite}}
  {\multicitedelim}
  {\usebibmacro{postnote}}

\newbibmacro{fancyquotecite}{%
  \printnames[given-family]{labelname}%
  \setunit{\addcomma\space}%
  \printfield{maintitle}%
  \setunit{\addcomma\space}%
  \printfield{booktitle}%
  \setunit{\addcomma\space}%
  \printfield{title}%
}

\usepackage{filecontents}
\begin{filecontents}{\jobname.bib}
@InBook{Mokyr1999,
  title        = {The New Economic History and the Industrial Revolution},
  pages        = {1--127},
  booktitle    = {The British Industrial Revolution},
  booksubtitle = {An Economic Perspective},
  publisher    = {Westview},
  location     = {Boulder},
  year         = {1999},
  author       = {Mokyr, Joel},
  editor       = {Mokyr, Joel},
  edition      = {2},
}
\end{filecontents}
\addbibresource{\jobname.bib}

\begin{document}
\fancyquotecite{Mokyr1999}

\printbibliography[heading=bibnumbered]
\end{document}

Please note how I changed the contents of some fields in your .bib file to work better with biblatex. Note also that it is a bad idea to include the chapter number in the title to \printbibliography, use heading=bibnumbered instead.