POWER OF ATTORNEY

Know all by these presents, that I hereby constitute and appoint each of Gina K.
Gunning and James R. Warren, or either of them acting alone and with full power
of substitution, as my true and lawful attorney-in- fact and agent for me and in
my name, place and stead, to:

1.   execute for me and on my behalf, in my capacity as an officer, director and
     /or 10% shareholder of GrafTech International Ltd. (the "Company"), Forms
     3, 4 or 5 in accordance with Section 16(a) of the Securities Exchange Act
     of 1934, as amended, or any rule or regulation of the United States
     Securities and Exchange Commission (the "SEC");

2.   do and perform any and all acts for me and on my behalf which may be
     necessary or desirable to complete and execute any such Form 3, 4 or 5, or
     other form or report, complete and execute any amendment or amendments
     thereto and timely file such form or report with the SEC and any stock
     exchange or similar authority;

3.   prepare, execute in my name and on my behalf, and submit to the SEC a Form
     ID, including amendments thereto, and any other documents necessary or
     appropriate to obtain and/or regenerate codes and passwords enabling me to
     make electronic filings with the SEC of reports required by Section 16(a)
     of the Securities Exchange Act of 1934, as amended, or any rule or
     regulation of the SEC; and

4.   take any other action of any type whatsoever in connection with the
     foregoing which, in the opinion of each such attorney-in-fact, may be of
     benefit to me, in my best interest or legally required by me, it being
     understood that the documents executed by such attorney-in-fact on my
     behalf pursuant to this Power of Attorney shall be in such form and shall
     contain such terms and conditions as such attorney-in-fact may approve in
     such attorney-in-fact's discretion.

I hereby grant to each such attorney-in-fact full power and authority to do and
perform any and every act and thing whatsoever requisite, necessary or proper to
be done in the exercise of any of the rights and powers herein granted, as fully
to all intents and purposes as I might or could do if personally present, with
full power of substitution or revocation, hereby ratifying and confirming all
that such attorney-in-fact, or such attorney-in-fact's substitute or
substitutes, shall lawfully do or cause to be done by virtue of this Power of
Attorney and the rights and powers herein granted.  I acknowledge that each such
attorney-in-fact, in serving in such capacity at my request, is not assuming,
nor is the Company assuming, any of my responsibilities to comply with Section
16 of the Securities Exchange Act of 1934, as amended.

This Power of Attorney shall remain in full force and effect until I am no
longer required to file Forms 3, 4 and 5 with respect to my holdings of and
transactions in securities of the Company, unless earlier revoked by me in a
signed writing delivered to each of the attorneys-in-fact named above and shall
supersede and all other previous and prior powers of attorney granted by me in
my capacity as an officer, director and/or 10% shareholder of the Company and
relating to my responsibilities to comply with Section 16 of the Securities
Exchange Act of 1934, as amended, if any, all of which are hereby deemed to be
revoked.

IN WITNESS WHEREOF, I have signed this Power of Attorney on April 29, 2019.


/s/ Anthony R. Taccone
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Signature


Anthony R. Taccone
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Printed Name