亲测不会有各种坑！！！
我需要在一台内网环境的centos7.6（192.168.1.33）上安装ffmpeg
可以借助一台有网的服务器，来操作

静态编译FFmpeg

./configure --enable-static --disable-shared --prefix=/usr/local/ffmpeg-static
make -j$(nproc)
make install

此时可以看到出现了

ffmpeg ffprobe config.h doc/ libav*/ fftools/

打包编译好的二进制文件

tar czvf ffmpeg-static.tar.gz /usr/local/ffmpeg-static

在离线服务器上解压即可使用

tar xzvf ffmpeg-static.tar.gz -C /usr/local
export PATH=/usr/local/ffmpeg-static/bin:$PATH

查看

[root@host-136-64-250-219 ffmpeg]# ffmpeg
ffmpeg version 6.1.1 Copyright (c) 2000-2023 the FFmpeg developers
  built with gcc 4.8.5 (GCC) 20150623 (Red Hat 4.8.5-44)
  configuration: --enable-static --disable-shared --prefix=/usr/local/ffmpeg-static
  libavutil      58. 29.100 / 58. 29.100
  libavcodec     60. 31.102 / 60. 31.102
  libavformat    60. 16.100 / 60. 16.100
  libavdevice    60.  3.100 / 60.  3.100
  libavfilter     9. 12.100 /  9. 12.100
  libswscale      7.  5.100 /  7.  5.100
  libswresample   4. 12.100 /  4. 12.100
Hyper fast Audio and Video encoder
usage: ffmpeg [options] [[infile options] -i infile]... {[outfile options] outfile}...

Use -h to get full help or, even better, run 'man ffmpeg'