Drawing a table with arrows crossing each other in LaTeX

Something to begin with (you can try and answer to your other question about arrow and tabulars with the same approach).

documentclass{article}
usepackage{tikz}
usetikzlibrary{positioning}

tikzset{every node/.style={inner xsep=10pt, inner ysep=6pt}}

newcommand{tikzmark}[2]{tikz[remember picture] node (#1) {#2};}

begin{document}
    sf
    
    begin{tabular}{|c|c|c|}
        hline
        tikzmark{a1}{textbf{AA}} & tikzmark{b1}{} & tikzmark{c1}{textbf{BB}} 
        hline
        tikzmark{a2}{A} & tikzmark{b2}{} & tikzmark{c2}{1} 
        hline
        tikzmark{a3}{B} & tikzmark{b3}{} & tikzmark{c3}{2} 
        hline
        tikzmark{a4}{C} & tikzmark{b4}{} & tikzmark{c4}{3} 
        hline
        tikzmark{a5}{D} & tikzmark{b5}{} & tikzmark{c5}{4} 
        hline
    end{tabular}

begin{tikzpicture}[%
    overlay,
    remember picture,
    arr/.style={-stealth, blue, line width=2pt}]
    
    foreach k in {2,...,5}
        draw[arr] (ak.east) -- (ck.west);

    node[below=20pt] (ending) at (b5.south) {};
    draw[arr] (b1.south) -- (ending);
end{tikzpicture}

end{document}